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Finding the Fourth Proportional to 160,721.29, 241,098.13 and 42,400.81

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Solution

The fourth proportional to 160,721.29, 241,098.13 and 42,400.81 is: 63,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,721.29 : 241,098.13 = 42,400.81 : x
  2. Step 2: Convert to fraction form
    160,721.29/241,098.13 = 42,400.81/x
  3. Step 3: Cross multiply
    160,721.29x = 241,098.13 × 42,400.81
  4. Step 4: Simplify right side
    160,721.29x = 10,222,756,001.49
  5. Step 5: Solve for x
    x = 10,222,756,001.49/160,721.29
  6. Step 6: Final answer
    x = 63,605.49

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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.