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Finding the Fourth Proportional to 257,082.80, 385,624.20 and 90,870.80

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Solution

The fourth proportional to 257,082.80, 385,624.20 and 90,870.80 is: 136,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,082.80 : 385,624.20 = 90,870.80 : x
  2. Step 2: Convert to fraction form
    257,082.80/385,624.20 = 90,870.80/x
  3. Step 3: Cross multiply
    257,082.80x = 385,624.20 × 90,870.80
  4. Step 4: Simplify right side
    257,082.80x = 35,041,979,553.36
  5. Step 5: Solve for x
    x = 35,041,979,553.36/257,082.80
  6. Step 6: Final answer
    x = 136,306.20

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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.