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Finding the Fourth Proportional to 257,007.60, 385,540.20 and 79,513.20

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Solution

The fourth proportional to 257,007.60, 385,540.20 and 79,513.20 is: 119,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,007.60 : 385,540.20 = 79,513.20 : x
  2. Step 2: Convert to fraction form
    257,007.60/385,540.20 = 79,513.20/x
  3. Step 3: Cross multiply
    257,007.60x = 385,540.20 × 79,513.20
  4. Step 4: Simplify right side
    257,007.60x = 30,655,535,030.64
  5. Step 5: Solve for x
    x = 30,655,535,030.64/257,007.60
  6. Step 6: Final answer
    x = 119,278.71

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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.