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Finding the Fourth Proportional to 358,864.00, 538,401.24 and 106,151.13

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Solution

The fourth proportional to 358,864.00, 538,401.24 and 106,151.13 is: 159,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,864.00 : 538,401.24 = 106,151.13 : x
  2. Step 2: Convert to fraction form
    358,864.00/538,401.24 = 106,151.13/x
  3. Step 3: Cross multiply
    358,864.00x = 538,401.24 × 106,151.13
  4. Step 4: Simplify right side
    358,864.00x = 57,151,900,019.40
  5. Step 5: Solve for x
    x = 57,151,900,019.40/358,864.00
  6. Step 6: Final answer
    x = 159,257.83

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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.