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Finding the Fourth Proportional to 150,409.70, 207,566.82 and 82,432.95

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Solution

The fourth proportional to 150,409.70, 207,566.82 and 82,432.95 is: 113,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409.70 : 207,566.82 = 82,432.95 : x
  2. Step 2: Convert to fraction form
    150,409.70/207,566.82 = 82,432.95/x
  3. Step 3: Cross multiply
    150,409.70x = 207,566.82 × 82,432.95
  4. Step 4: Simplify right side
    150,409.70x = 17,110,345,294.72
  5. Step 5: Solve for x
    x = 17,110,345,294.72/150,409.70
  6. Step 6: Final answer
    x = 113,758.26

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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.