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Finding the Fourth Proportional to 160,699.92, 221,767.74 and 89,081.16

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Solution

The fourth proportional to 160,699.92, 221,767.74 and 89,081.16 is: 122,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,699.92 : 221,767.74 = 89,081.16 : x
  2. Step 2: Convert to fraction form
    160,699.92/221,767.74 = 89,081.16/x
  3. Step 3: Cross multiply
    160,699.92x = 221,767.74 × 89,081.16
  4. Step 4: Simplify right side
    160,699.92x = 19,755,327,529.78
  5. Step 5: Solve for x
    x = 19,755,327,529.78/160,699.92
  6. Step 6: Final answer
    x = 122,933.03

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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.