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Finding the Fourth Proportional to 131,591.64, 197,416.68 and 61,432.68

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Solution

The fourth proportional to 131,591.64, 197,416.68 and 61,432.68 is: 92,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,591.64 : 197,416.68 = 61,432.68 : x
  2. Step 2: Convert to fraction form
    131,591.64/197,416.68 = 61,432.68/x
  3. Step 3: Cross multiply
    131,591.64x = 197,416.68 × 61,432.68
  4. Step 4: Simplify right side
    131,591.64x = 12,127,835,729.10
  5. Step 5: Solve for x
    x = 12,127,835,729.10/131,591.64
  6. Step 6: Final answer
    x = 92,162.66

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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.