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Finding the Fourth Proportional to 106,151.39, 159,253.81 and 39,593.69

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Solution

The fourth proportional to 106,151.39, 159,253.81 and 39,593.69 is: 59,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,151.39 : 159,253.81 = 39,593.69 : x
  2. Step 2: Convert to fraction form
    106,151.39/159,253.81 = 39,593.69/x
  3. Step 3: Cross multiply
    106,151.39x = 159,253.81 × 39,593.69
  4. Step 4: Simplify right side
    106,151.39x = 6,305,445,089.21
  5. Step 5: Solve for x
    x = 6,305,445,089.21/106,151.39
  6. Step 6: Final answer
    x = 59,400.50

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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.