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Finding the Fourth Proportional to 257,456.70, 386,185.06 and 99,685.16

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Solution

The fourth proportional to 257,456.70, 386,185.06 and 99,685.16 is: 149,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,456.70 : 386,185.06 = 99,685.16 : x
  2. Step 2: Convert to fraction form
    257,456.70/386,185.06 = 99,685.16/x
  3. Step 3: Cross multiply
    257,456.70x = 386,185.06 × 99,685.16
  4. Step 4: Simplify right side
    257,456.70x = 38,496,919,495.71
  5. Step 5: Solve for x
    x = 38,496,919,495.71/257,456.70
  6. Step 6: Final answer
    x = 149,527.74

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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.