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Finding the Fourth Proportional to 154,965.92, 232,414.32 and 61,446.56

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Solution

The fourth proportional to 154,965.92, 232,414.32 and 61,446.56 is: 92,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,965.92 : 232,414.32 = 61,446.56 : x
  2. Step 2: Convert to fraction form
    154,965.92/232,414.32 = 61,446.56/x
  3. Step 3: Cross multiply
    154,965.92x = 232,414.32 × 61,446.56
  4. Step 4: Simplify right side
    154,965.92x = 14,281,060,458.74
  5. Step 5: Solve for x
    x = 14,281,060,458.74/154,965.92
  6. Step 6: Final answer
    x = 92,156.14

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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.