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Finding the Fourth Proportional to 276,084.13, 414,046.16 and 107,566.89

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Solution

The fourth proportional to 276,084.13, 414,046.16 and 107,566.89 is: 161,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,084.13 : 414,046.16 = 107,566.89 : x
  2. Step 2: Convert to fraction form
    276,084.13/414,046.16 = 107,566.89/x
  3. Step 3: Cross multiply
    276,084.13x = 414,046.16 × 107,566.89
  4. Step 4: Simplify right side
    276,084.13x = 44,537,656,665.57
  5. Step 5: Solve for x
    x = 44,537,656,665.57/276,084.13
  6. Step 6: Final answer
    x = 161,319.15

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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.