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Finding the Fourth Proportional to 235,201.16, 352,780.92 and 85,442.73

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Solution

The fourth proportional to 235,201.16, 352,780.92 and 85,442.73 is: 128,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,201.16 : 352,780.92 = 85,442.73 : x
  2. Step 2: Convert to fraction form
    235,201.16/352,780.92 = 85,442.73/x
  3. Step 3: Cross multiply
    235,201.16x = 352,780.92 × 85,442.73
  4. Step 4: Simplify right side
    235,201.16x = 30,142,564,896.71
  5. Step 5: Solve for x
    x = 30,142,564,896.71/235,201.16
  6. Step 6: Final answer
    x = 128,156.53

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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.