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Finding the Fourth Proportional to 177,616.12, 266,416.86 and 98,680

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Solution

The fourth proportional to 177,616.12, 266,416.86 and 98,680 is: 148,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,616.12 : 266,416.86 = 98,680 : x
  2. Step 2: Convert to fraction form
    177,616.12/266,416.86 = 98,680/x
  3. Step 3: Cross multiply
    177,616.12x = 266,416.86 × 98,680
  4. Step 4: Simplify right side
    177,616.12x = 26,290,015,744.80
  5. Step 5: Solve for x
    x = 26,290,015,744.80/177,616.12
  6. Step 6: Final answer
    x = 148,015.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.