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Finding the Fourth Proportional to 160,703.74, 221,767.62 and 89,083.14

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Solution

The fourth proportional to 160,703.74, 221,767.62 and 89,083.14 is: 122,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,703.74 : 221,767.62 = 89,083.14 : x
  2. Step 2: Convert to fraction form
    160,703.74/221,767.62 = 89,083.14/x
  3. Step 3: Cross multiply
    160,703.74x = 221,767.62 × 89,083.14
  4. Step 4: Simplify right side
    160,703.74x = 19,755,755,939.93
  5. Step 5: Solve for x
    x = 19,755,755,939.93/160,703.74
  6. Step 6: Final answer
    x = 122,932.77

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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.