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Finding the Fourth Proportional to 257,686.68, 386,556.52 and 89,206.68

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Solution

The fourth proportional to 257,686.68, 386,556.52 and 89,206.68 is: 133,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,686.68 : 386,556.52 = 89,206.68 : x
  2. Step 2: Convert to fraction form
    257,686.68/386,556.52 = 89,206.68/x
  3. Step 3: Cross multiply
    257,686.68x = 386,556.52 × 89,206.68
  4. Step 4: Simplify right side
    257,686.68x = 34,483,423,781.55
  5. Step 5: Solve for x
    x = 34,483,423,781.55/257,686.68
  6. Step 6: Final answer
    x = 133,819.19

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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.