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Finding the Fourth Proportional to 176,024.24, 242,910.28 and 99,542.16

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Solution

The fourth proportional to 176,024.24, 242,910.28 and 99,542.16 is: 137,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,024.24 : 242,910.28 = 99,542.16 : x
  2. Step 2: Convert to fraction form
    176,024.24/242,910.28 = 99,542.16/x
  3. Step 3: Cross multiply
    176,024.24x = 242,910.28 × 99,542.16
  4. Step 4: Simplify right side
    176,024.24x = 24,179,813,957.40
  5. Step 5: Solve for x
    x = 24,179,813,957.40/176,024.24
  6. Step 6: Final answer
    x = 137,366.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.