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Finding the Fourth Proportional to 161,920.98, 223,445.48 and 89,326.76

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Solution

The fourth proportional to 161,920.98, 223,445.48 and 89,326.76 is: 123,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,920.98 : 223,445.48 = 89,326.76 : x
  2. Step 2: Convert to fraction form
    161,920.98/223,445.48 = 89,326.76/x
  3. Step 3: Cross multiply
    161,920.98x = 223,445.48 × 89,326.76
  4. Step 4: Simplify right side
    161,920.98x = 19,959,659,201.18
  5. Step 5: Solve for x
    x = 19,959,659,201.18/161,920.98
  6. Step 6: Final answer
    x = 123,267.90

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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.