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Finding the Fourth Proportional to 97,951.92, 147,025.20 and 57,438.96

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Solution

The fourth proportional to 97,951.92, 147,025.20 and 57,438.96 is: 86,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,951.92 : 147,025.20 = 57,438.96 : x
  2. Step 2: Convert to fraction form
    97,951.92/147,025.20 = 57,438.96/x
  3. Step 3: Cross multiply
    97,951.92x = 147,025.20 × 57,438.96
  4. Step 4: Simplify right side
    97,951.92x = 8,444,974,581.79
  5. Step 5: Solve for x
    x = 8,444,974,581.79/97,951.92
  6. Step 6: Final answer
    x = 86,215.51

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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.