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Finding the Fourth Proportional to 257,122.53, 385,932.56 and 124,096.43

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Solution

The fourth proportional to 257,122.53, 385,932.56 and 124,096.43 is: 186,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,122.53 : 385,932.56 = 124,096.43 : x
  2. Step 2: Convert to fraction form
    257,122.53/385,932.56 = 124,096.43/x
  3. Step 3: Cross multiply
    257,122.53x = 385,932.56 × 124,096.43
  4. Step 4: Simplify right side
    257,122.53x = 47,892,850,366.62
  5. Step 5: Solve for x
    x = 47,892,850,366.62/257,122.53
  6. Step 6: Final answer
    x = 186,264.70

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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.