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Finding the Fourth Proportional to 257,363.80, 386,123.82 and 124,219.24

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Solution

The fourth proportional to 257,363.80, 386,123.82 and 124,219.24 is: 186,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,363.80 : 386,123.82 = 124,219.24 : x
  2. Step 2: Convert to fraction form
    257,363.80/386,123.82 = 124,219.24/x
  3. Step 3: Cross multiply
    257,363.80x = 386,123.82 × 124,219.24
  4. Step 4: Simplify right side
    257,363.80x = 47,964,007,466.30
  5. Step 5: Solve for x
    x = 47,964,007,466.30/257,363.80
  6. Step 6: Final answer
    x = 186,366.57

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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.