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Finding the Fourth Proportional to 358,951.60, 538,330.20 and 106,231.60

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Solution

The fourth proportional to 358,951.60, 538,330.20 and 106,231.60 is: 159,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,951.60 : 538,330.20 = 106,231.60 : x
  2. Step 2: Convert to fraction form
    358,951.60/538,330.20 = 106,231.60/x
  3. Step 3: Cross multiply
    358,951.60x = 538,330.20 × 106,231.60
  4. Step 4: Simplify right side
    358,951.60x = 57,187,678,474.32
  5. Step 5: Solve for x
    x = 57,187,678,474.32/358,951.60
  6. Step 6: Final answer
    x = 159,318.63

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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.