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Finding the Fourth Proportional to 160,775.46, 221,875.32 and 89,162.16

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Solution

The fourth proportional to 160,775.46, 221,875.32 and 89,162.16 is: 123,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,775.46 : 221,875.32 = 89,162.16 : x
  2. Step 2: Convert to fraction form
    160,775.46/221,875.32 = 89,162.16/x
  3. Step 3: Cross multiply
    160,775.46x = 221,875.32 × 89,162.16
  4. Step 4: Simplify right side
    160,775.46x = 19,782,882,781.89
  5. Step 5: Solve for x
    x = 19,782,882,781.89/160,775.46
  6. Step 6: Final answer
    x = 123,046.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.