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Finding the Fourth Proportional to 150,695.38, 207,962.26 and 82,718.71

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Solution

The fourth proportional to 150,695.38, 207,962.26 and 82,718.71 is: 114,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,695.38 : 207,962.26 = 82,718.71 : x
  2. Step 2: Convert to fraction form
    150,695.38/207,962.26 = 82,718.71/x
  3. Step 3: Cross multiply
    150,695.38x = 207,962.26 × 82,718.71
  4. Step 4: Simplify right side
    150,695.38x = 17,202,369,875.88
  5. Step 5: Solve for x
    x = 17,202,369,875.88/150,695.38
  6. Step 6: Final answer
    x = 114,153.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.