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Finding the Fourth Proportional to 257,532.70, 386,380.05 and 124,417.30

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Solution

The fourth proportional to 257,532.70, 386,380.05 and 124,417.30 is: 186,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.70 : 386,380.05 = 124,417.30 : x
  2. Step 2: Convert to fraction form
    257,532.70/386,380.05 = 124,417.30/x
  3. Step 3: Cross multiply
    257,532.70x = 386,380.05 × 124,417.30
  4. Step 4: Simplify right side
    257,532.70x = 48,072,362,594.87
  5. Step 5: Solve for x
    x = 48,072,362,594.87/257,532.70
  6. Step 6: Final answer
    x = 186,665.08

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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.