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Finding the Fourth Proportional to 160,849.92, 221,999.50 and 89,253

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Solution

The fourth proportional to 160,849.92, 221,999.50 and 89,253 is: 123,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,849.92 : 221,999.50 = 89,253 : x
  2. Step 2: Convert to fraction form
    160,849.92/221,999.50 = 89,253/x
  3. Step 3: Cross multiply
    160,849.92x = 221,999.50 × 89,253
  4. Step 4: Simplify right side
    160,849.92x = 19,814,121,373.50
  5. Step 5: Solve for x
    x = 19,814,121,373.50/160,849.92
  6. Step 6: Final answer
    x = 123,183.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.