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Finding the Fourth Proportional to 160,704.74, 221,769 and 89,084.14

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Solution

The fourth proportional to 160,704.74, 221,769 and 89,084.14 is: 122,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,704.74 : 221,769 = 89,084.14 : x
  2. Step 2: Convert to fraction form
    160,704.74/221,769 = 89,084.14/x
  3. Step 3: Cross multiply
    160,704.74x = 221,769 × 89,084.14
  4. Step 4: Simplify right side
    160,704.74x = 19,756,100,643.66
  5. Step 5: Solve for x
    x = 19,756,100,643.66/160,704.74
  6. Step 6: Final answer
    x = 122,934.15

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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.