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Finding the Fourth Proportional to 257,022.80, 385,591.80 and 99,237.20

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Solution

The fourth proportional to 257,022.80, 385,591.80 and 99,237.20 is: 148,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,022.80 : 385,591.80 = 99,237.20 : x
  2. Step 2: Convert to fraction form
    257,022.80/385,591.80 = 99,237.20/x
  3. Step 3: Cross multiply
    257,022.80x = 385,591.80 × 99,237.20
  4. Step 4: Simplify right side
    257,022.80x = 38,265,050,574.96
  5. Step 5: Solve for x
    x = 38,265,050,574.96/257,022.80
  6. Step 6: Final answer
    x = 148,878.04

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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.