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Finding the Fourth Proportional to 150,422.91, 207,539.10 and 85,890

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Solution

The fourth proportional to 150,422.91, 207,539.10 and 85,890 is: 118,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,422.91 : 207,539.10 = 85,890 : x
  2. Step 2: Convert to fraction form
    150,422.91/207,539.10 = 85,890/x
  3. Step 3: Cross multiply
    150,422.91x = 207,539.10 × 85,890
  4. Step 4: Simplify right side
    150,422.91x = 17,825,533,299
  5. Step 5: Solve for x
    x = 17,825,533,299/150,422.91
  6. Step 6: Final answer
    x = 118,502.78

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