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Finding the Fourth Proportional to 257,144.88, 385,753.80 and 79,665.84

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Solution

The fourth proportional to 257,144.88, 385,753.80 and 79,665.84 is: 119,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,144.88 : 385,753.80 = 79,665.84 : x
  2. Step 2: Convert to fraction form
    257,144.88/385,753.80 = 79,665.84/x
  3. Step 3: Cross multiply
    257,144.88x = 385,753.80 × 79,665.84
  4. Step 4: Simplify right side
    257,144.88x = 30,731,400,510.19
  5. Step 5: Solve for x
    x = 30,731,400,510.19/257,144.88
  6. Step 6: Final answer
    x = 119,510.06

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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.