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Finding the Fourth Proportional to 261,502.17, 392,253.26 and 182,770.17

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Solution

The fourth proportional to 261,502.17, 392,253.26 and 182,770.17 is: 274,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,502.17 : 392,253.26 = 182,770.17 : x
  2. Step 2: Convert to fraction form
    261,502.17/392,253.26 = 182,770.17/x
  3. Step 3: Cross multiply
    261,502.17x = 392,253.26 × 182,770.17
  4. Step 4: Simplify right side
    261,502.17x = 71,692,194,099.40
  5. Step 5: Solve for x
    x = 71,692,194,099.40/261,502.17
  6. Step 6: Final answer
    x = 274,155.26

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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.