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Finding the Fourth Proportional to 160,632.32, 221,685.28 and 89,019.20

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Solution

The fourth proportional to 160,632.32, 221,685.28 and 89,019.20 is: 122,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,632.32 : 221,685.28 = 89,019.20 : x
  2. Step 2: Convert to fraction form
    160,632.32/221,685.28 = 89,019.20/x
  3. Step 3: Cross multiply
    160,632.32x = 221,685.28 × 89,019.20
  4. Step 4: Simplify right side
    160,632.32x = 19,734,246,277.38
  5. Step 5: Solve for x
    x = 19,734,246,277.38/160,632.32
  6. Step 6: Final answer
    x = 122,853.52

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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.