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Finding the Fourth Proportional to 154,446.30, 231,691.05 and 65,699.10

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Solution

The fourth proportional to 154,446.30, 231,691.05 and 65,699.10 is: 98,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,446.30 : 231,691.05 = 65,699.10 : x
  2. Step 2: Convert to fraction form
    154,446.30/231,691.05 = 65,699.10/x
  3. Step 3: Cross multiply
    154,446.30x = 231,691.05 × 65,699.10
  4. Step 4: Simplify right side
    154,446.30x = 15,221,893,463.06
  5. Step 5: Solve for x
    x = 15,221,893,463.06/154,446.30
  6. Step 6: Final answer
    x = 98,557.84

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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.