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Finding the Fourth Proportional to 154,484.92, 231,701.46 and 43,651

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Solution

The fourth proportional to 154,484.92, 231,701.46 and 43,651 is: 65,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,484.92 : 231,701.46 = 43,651 : x
  2. Step 2: Convert to fraction form
    154,484.92/231,701.46 = 43,651/x
  3. Step 3: Cross multiply
    154,484.92x = 231,701.46 × 43,651
  4. Step 4: Simplify right side
    154,484.92x = 10,114,000,430.46
  5. Step 5: Solve for x
    x = 10,114,000,430.46/154,484.92
  6. Step 6: Final answer
    x = 65,469.18

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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.