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Finding the Fourth Proportional to 176,718.78, 243,869.24 and 96,144.47

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Solution

The fourth proportional to 176,718.78, 243,869.24 and 96,144.47 is: 132,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,718.78 : 243,869.24 = 96,144.47 : x
  2. Step 2: Convert to fraction form
    176,718.78/243,869.24 = 96,144.47/x
  3. Step 3: Cross multiply
    176,718.78x = 243,869.24 × 96,144.47
  4. Step 4: Simplify right side
    176,718.78x = 23,446,677,129.03
  5. Step 5: Solve for x
    x = 23,446,677,129.03/176,718.78
  6. Step 6: Final answer
    x = 132,677.90

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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.