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Finding the Fourth Proportional to 239,229, 358,597.20 and 106,171.92

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Solution

The fourth proportional to 239,229, 358,597.20 and 106,171.92 is: 159,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,229 : 358,597.20 = 106,171.92 : x
  2. Step 2: Convert to fraction form
    239,229/358,597.20 = 106,171.92/x
  3. Step 3: Cross multiply
    239,229x = 358,597.20 × 106,171.92
  4. Step 4: Simplify right side
    239,229x = 38,072,953,230.62
  5. Step 5: Solve for x
    x = 38,072,953,230.62/239,229
  6. Step 6: Final answer
    x = 159,148.57

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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.