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Finding the Fourth Proportional to 123,565,951.80, 185,348,927.70 and 31,449,511.80

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Solution

The fourth proportional to 123,565,951.80, 185,348,927.70 and 31,449,511.80 is: 47,174,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,565,951.80 : 185,348,927.70 = 31,449,511.80 : x
  2. Step 2: Convert to fraction form
    123,565,951.80/185,348,927.70 = 31,449,511.80/x
  3. Step 3: Cross multiply
    123,565,951.80x = 185,348,927.70 × 31,449,511.80
  4. Step 4: Simplify right side
    123,565,951.80x = 5,829,133,288,818,497
  5. Step 5: Solve for x
    x = 5,829,133,288,818,497/123,565,951.80
  6. Step 6: Final answer
    x = 47,174,267.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.