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Finding the Fourth Proportional to 160,695.92, 221,762.22 and 89,077.16

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Solution

The fourth proportional to 160,695.92, 221,762.22 and 89,077.16 is: 122,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,695.92 : 221,762.22 = 89,077.16 : x
  2. Step 2: Convert to fraction form
    160,695.92/221,762.22 = 89,077.16/x
  3. Step 3: Cross multiply
    160,695.92x = 221,762.22 × 89,077.16
  4. Step 4: Simplify right side
    160,695.92x = 19,753,948,752.90
  5. Step 5: Solve for x
    x = 19,753,948,752.90/160,695.92
  6. Step 6: Final answer
    x = 122,927.51

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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.