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Finding the Fourth Proportional to 161,070.94, 222,278.07 and 89,451.10

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Solution

The fourth proportional to 161,070.94, 222,278.07 and 89,451.10 is: 123,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,070.94 : 222,278.07 = 89,451.10 : x
  2. Step 2: Convert to fraction form
    161,070.94/222,278.07 = 89,451.10/x
  3. Step 3: Cross multiply
    161,070.94x = 222,278.07 × 89,451.10
  4. Step 4: Simplify right side
    161,070.94x = 19,883,017,867.38
  5. Step 5: Solve for x
    x = 19,883,017,867.38/161,070.94
  6. Step 6: Final answer
    x = 123,442.61

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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.