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Finding the Fourth Proportional to 261,642.20, 392,463.30 and 209,154.20

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Solution

The fourth proportional to 261,642.20, 392,463.30 and 209,154.20 is: 313,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,642.20 : 392,463.30 = 209,154.20 : x
  2. Step 2: Convert to fraction form
    261,642.20/392,463.30 = 209,154.20/x
  3. Step 3: Cross multiply
    261,642.20x = 392,463.30 × 209,154.20
  4. Step 4: Simplify right side
    261,642.20x = 82,085,347,540.86
  5. Step 5: Solve for x
    x = 82,085,347,540.86/261,642.20
  6. Step 6: Final answer
    x = 313,731.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.