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Finding the Fourth Proportional to 153,878.46, 230,843.21 and 54,012.75

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Solution

The fourth proportional to 153,878.46, 230,843.21 and 54,012.75 is: 81,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,878.46 : 230,843.21 = 54,012.75 : x
  2. Step 2: Convert to fraction form
    153,878.46/230,843.21 = 54,012.75/x
  3. Step 3: Cross multiply
    153,878.46x = 230,843.21 × 54,012.75
  4. Step 4: Simplify right side
    153,878.46x = 12,468,476,590.93
  5. Step 5: Solve for x
    x = 12,468,476,590.93/153,878.46
  6. Step 6: Final answer
    x = 81,028.08

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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.