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Finding the Fourth Proportional to 118,616.49, 177,824.25 and 52,006.14

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Solution

The fourth proportional to 118,616.49, 177,824.25 and 52,006.14 is: 77,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,616.49 : 177,824.25 = 52,006.14 : x
  2. Step 2: Convert to fraction form
    118,616.49/177,824.25 = 52,006.14/x
  3. Step 3: Cross multiply
    118,616.49x = 177,824.25 × 52,006.14
  4. Step 4: Simplify right side
    118,616.49x = 9,247,952,840.90
  5. Step 5: Solve for x
    x = 9,247,952,840.90/118,616.49
  6. Step 6: Final answer
    x = 77,965.15

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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.