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Finding the Fourth Proportional to 160,842.73, 221,945.05 and 89,204.80

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Solution

The fourth proportional to 160,842.73, 221,945.05 and 89,204.80 is: 123,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,842.73 : 221,945.05 = 89,204.80 : x
  2. Step 2: Convert to fraction form
    160,842.73/221,945.05 = 89,204.80/x
  3. Step 3: Cross multiply
    160,842.73x = 221,945.05 × 89,204.80
  4. Step 4: Simplify right side
    160,842.73x = 19,798,563,796.24
  5. Step 5: Solve for x
    x = 19,798,563,796.24/160,842.73
  6. Step 6: Final answer
    x = 123,092.69

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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.