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Finding the Fourth Proportional to 150,423.28, 207,583.92 and 82,444.48

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Solution

The fourth proportional to 150,423.28, 207,583.92 and 82,444.48 is: 113,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,423.28 : 207,583.92 = 82,444.48 : x
  2. Step 2: Convert to fraction form
    150,423.28/207,583.92 = 82,444.48/x
  3. Step 3: Cross multiply
    150,423.28x = 207,583.92 × 82,444.48
  4. Step 4: Simplify right side
    150,423.28x = 17,114,148,340.76
  5. Step 5: Solve for x
    x = 17,114,148,340.76/150,423.28
  6. Step 6: Final answer
    x = 113,773.27

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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.