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Finding the Fourth Proportional to 160,639.50, 221,687.37 and 89,012.82

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Solution

The fourth proportional to 160,639.50, 221,687.37 and 89,012.82 is: 122,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,639.50 : 221,687.37 = 89,012.82 : x
  2. Step 2: Convert to fraction form
    160,639.50/221,687.37 = 89,012.82/x
  3. Step 3: Cross multiply
    160,639.50x = 221,687.37 × 89,012.82
  4. Step 4: Simplify right side
    160,639.50x = 19,733,017,962.08
  5. Step 5: Solve for x
    x = 19,733,017,962.08/160,639.50
  6. Step 6: Final answer
    x = 122,840.38

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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.