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Finding the Fourth Proportional to 257,071.60, 385,607.40 and 132,655.60

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Solution

The fourth proportional to 257,071.60, 385,607.40 and 132,655.60 is: 198,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,071.60 : 385,607.40 = 132,655.60 : x
  2. Step 2: Convert to fraction form
    257,071.60/385,607.40 = 132,655.60/x
  3. Step 3: Cross multiply
    257,071.60x = 385,607.40 × 132,655.60
  4. Step 4: Simplify right side
    257,071.60x = 51,152,981,011.44
  5. Step 5: Solve for x
    x = 51,152,981,011.44/257,071.60
  6. Step 6: Final answer
    x = 198,983.40

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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.