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Finding the Fourth Proportional to 257,686.28, 386,523.05 and 99,914.77

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Solution

The fourth proportional to 257,686.28, 386,523.05 and 99,914.77 is: 149,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,686.28 : 386,523.05 = 99,914.77 : x
  2. Step 2: Convert to fraction form
    257,686.28/386,523.05 = 99,914.77/x
  3. Step 3: Cross multiply
    257,686.28x = 386,523.05 × 99,914.77
  4. Step 4: Simplify right side
    257,686.28x = 38,619,359,707.83
  5. Step 5: Solve for x
    x = 38,619,359,707.83/257,686.28
  6. Step 6: Final answer
    x = 149,869.68

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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.