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Finding the Fourth Proportional to 161,730.38, 223,189.43 and 89,135.86

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Solution

The fourth proportional to 161,730.38, 223,189.43 and 89,135.86 is: 123,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,730.38 : 223,189.43 = 89,135.86 : x
  2. Step 2: Convert to fraction form
    161,730.38/223,189.43 = 89,135.86/x
  3. Step 3: Cross multiply
    161,730.38x = 223,189.43 × 89,135.86
  4. Step 4: Simplify right side
    161,730.38x = 19,894,180,259.21
  5. Step 5: Solve for x
    x = 19,894,180,259.21/161,730.38
  6. Step 6: Final answer
    x = 123,008.31

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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.