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Finding the Fourth Proportional to 160,648.65, 221,695.65 and 89,029.94

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Solution

The fourth proportional to 160,648.65, 221,695.65 and 89,029.94 is: 122,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,648.65 : 221,695.65 = 89,029.94 : x
  2. Step 2: Convert to fraction form
    160,648.65/221,695.65 = 89,029.94/x
  3. Step 3: Cross multiply
    160,648.65x = 221,695.65 × 89,029.94
  4. Step 4: Simplify right side
    160,648.65x = 19,737,549,309.28
  5. Step 5: Solve for x
    x = 19,737,549,309.28/160,648.65
  6. Step 6: Final answer
    x = 122,861.59

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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.