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Finding the Fourth Proportional to 257,613.60, 386,346.56 and 86,816.72

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Solution

The fourth proportional to 257,613.60, 386,346.56 and 86,816.72 is: 130,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,613.60 : 386,346.56 = 86,816.72 : x
  2. Step 2: Convert to fraction form
    257,613.60/386,346.56 = 86,816.72/x
  3. Step 3: Cross multiply
    257,613.60x = 386,346.56 × 86,816.72
  4. Step 4: Simplify right side
    257,613.60x = 33,541,338,756.67
  5. Step 5: Solve for x
    x = 33,541,338,756.67/257,613.60
  6. Step 6: Final answer
    x = 130,200.19

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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.