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Finding the Fourth Proportional to 416,061.92, 624,186.48 and 131,769.74

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Solution

The fourth proportional to 416,061.92, 624,186.48 and 131,769.74 is: 197,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,061.92 : 624,186.48 = 131,769.74 : x
  2. Step 2: Convert to fraction form
    416,061.92/624,186.48 = 131,769.74/x
  3. Step 3: Cross multiply
    416,061.92x = 624,186.48 × 131,769.74
  4. Step 4: Simplify right side
    416,061.92x = 82,248,890,181.12
  5. Step 5: Solve for x
    x = 82,248,890,181.12/416,061.92
  6. Step 6: Final answer
    x = 197,684.25

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Why These Related Problems?

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