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Finding the Fourth Proportional to 261,672.20, 392,564.10 and 149,406.20

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Solution

The fourth proportional to 261,672.20, 392,564.10 and 149,406.20 is: 224,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,672.20 : 392,564.10 = 149,406.20 : x
  2. Step 2: Convert to fraction form
    261,672.20/392,564.10 = 149,406.20/x
  3. Step 3: Cross multiply
    261,672.20x = 392,564.10 × 149,406.20
  4. Step 4: Simplify right side
    261,672.20x = 58,651,510,437.42
  5. Step 5: Solve for x
    x = 58,651,510,437.42/261,672.20
  6. Step 6: Final answer
    x = 224,141.16

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1.5x scale

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.