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Finding the Fourth Proportional to 117,138.84, 175,780.48 and 46,048.98

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Solution

The fourth proportional to 117,138.84, 175,780.48 and 46,048.98 is: 69,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138.84 : 175,780.48 = 46,048.98 : x
  2. Step 2: Convert to fraction form
    117,138.84/175,780.48 = 46,048.98/x
  3. Step 3: Cross multiply
    117,138.84x = 175,780.48 × 46,048.98
  4. Step 4: Simplify right side
    117,138.84x = 8,094,511,807.91
  5. Step 5: Solve for x
    x = 8,094,511,807.91/117,138.84
  6. Step 6: Final answer
    x = 69,101.86

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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.