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Finding the Fourth Proportional to 160,212.14, 221,088.38 and 88,589.71

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Solution

The fourth proportional to 160,212.14, 221,088.38 and 88,589.71 is: 122,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,212.14 : 221,088.38 = 88,589.71 : x
  2. Step 2: Convert to fraction form
    160,212.14/221,088.38 = 88,589.71/x
  3. Step 3: Cross multiply
    160,212.14x = 221,088.38 × 88,589.71
  4. Step 4: Simplify right side
    160,212.14x = 19,586,155,468.57
  5. Step 5: Solve for x
    x = 19,586,155,468.57/160,212.14
  6. Step 6: Final answer
    x = 122,251.38

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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.