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Finding the Fourth Proportional to 160,861.95, 222,016.14 and 89,264.97

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Solution

The fourth proportional to 160,861.95, 222,016.14 and 89,264.97 is: 123,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,861.95 : 222,016.14 = 89,264.97 : x
  2. Step 2: Convert to fraction form
    160,861.95/222,016.14 = 89,264.97/x
  3. Step 3: Cross multiply
    160,861.95x = 222,016.14 × 89,264.97
  4. Step 4: Simplify right side
    160,861.95x = 19,818,264,076.62
  5. Step 5: Solve for x
    x = 19,818,264,076.62/160,861.95
  6. Step 6: Final answer
    x = 123,200.45

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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.