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Finding the Fourth Proportional to 257,021.68, 385,458.52 and 88,535.20

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Solution

The fourth proportional to 257,021.68, 385,458.52 and 88,535.20 is: 132,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,021.68 : 385,458.52 = 88,535.20 : x
  2. Step 2: Convert to fraction form
    257,021.68/385,458.52 = 88,535.20/x
  3. Step 3: Cross multiply
    257,021.68x = 385,458.52 × 88,535.20
  4. Step 4: Simplify right side
    257,021.68x = 34,126,647,159.90
  5. Step 5: Solve for x
    x = 34,126,647,159.90/257,021.68
  6. Step 6: Final answer
    x = 132,777.31

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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.