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Finding the Fourth Proportional to 155,704.64, 214,872.40 and 84,084.66

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Solution

The fourth proportional to 155,704.64, 214,872.40 and 84,084.66 is: 116,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,704.64 : 214,872.40 = 84,084.66 : x
  2. Step 2: Convert to fraction form
    155,704.64/214,872.40 = 84,084.66/x
  3. Step 3: Cross multiply
    155,704.64x = 214,872.40 × 84,084.66
  4. Step 4: Simplify right side
    155,704.64x = 18,067,472,697.38
  5. Step 5: Solve for x
    x = 18,067,472,697.38/155,704.64
  6. Step 6: Final answer
    x = 116,036.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.