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Finding the Fourth Proportional to 137,953.50, 207,008.87 and 53,702.75

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Solution

The fourth proportional to 137,953.50, 207,008.87 and 53,702.75 is: 80,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,953.50 : 207,008.87 = 53,702.75 : x
  2. Step 2: Convert to fraction form
    137,953.50/207,008.87 = 53,702.75/x
  3. Step 3: Cross multiply
    137,953.50x = 207,008.87 × 53,702.75
  4. Step 4: Simplify right side
    137,953.50x = 11,116,944,677.98
  5. Step 5: Solve for x
    x = 11,116,944,677.98/137,953.50
  6. Step 6: Final answer
    x = 80,584.72

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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.