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Finding the Fourth Proportional to 161,405.78, 222,729.09 and 89,780.90

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Solution

The fourth proportional to 161,405.78, 222,729.09 and 89,780.90 is: 123,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,405.78 : 222,729.09 = 89,780.90 : x
  2. Step 2: Convert to fraction form
    161,405.78/222,729.09 = 89,780.90/x
  3. Step 3: Cross multiply
    161,405.78x = 222,729.09 × 89,780.90
  4. Step 4: Simplify right side
    161,405.78x = 19,996,818,156.38
  5. Step 5: Solve for x
    x = 19,996,818,156.38/161,405.78
  6. Step 6: Final answer
    x = 123,891.59

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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.