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Finding the Fourth Proportional to 158,180.96, 218,289.76 and 86,561

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Solution

The fourth proportional to 158,180.96, 218,289.76 and 86,561 is: 119,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,180.96 : 218,289.76 = 86,561 : x
  2. Step 2: Convert to fraction form
    158,180.96/218,289.76 = 86,561/x
  3. Step 3: Cross multiply
    158,180.96x = 218,289.76 × 86,561
  4. Step 4: Simplify right side
    158,180.96x = 18,895,379,915.36
  5. Step 5: Solve for x
    x = 18,895,379,915.36/158,180.96
  6. Step 6: Final answer
    x = 119,454.20

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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.