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Finding the Fourth Proportional to 257,633.17, 386,484.90 and 89,108.31

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Solution

The fourth proportional to 257,633.17, 386,484.90 and 89,108.31 is: 133,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,633.17 : 386,484.90 = 89,108.31 : x
  2. Step 2: Convert to fraction form
    257,633.17/386,484.90 = 89,108.31/x
  3. Step 3: Cross multiply
    257,633.17x = 386,484.90 × 89,108.31
  4. Step 4: Simplify right side
    257,633.17x = 34,439,016,279.52
  5. Step 5: Solve for x
    x = 34,439,016,279.52/257,633.17
  6. Step 6: Final answer
    x = 133,674.62

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1.5x scale

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.