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Finding the Fourth Proportional to 153,877.13, 230,828.91 and 54,028.73

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Solution

The fourth proportional to 153,877.13, 230,828.91 and 54,028.73 is: 81,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,877.13 : 230,828.91 = 54,028.73 : x
  2. Step 2: Convert to fraction form
    153,877.13/230,828.91 = 54,028.73/x
  3. Step 3: Cross multiply
    153,877.13x = 230,828.91 × 54,028.73
  4. Step 4: Simplify right side
    153,877.13x = 12,471,393,229.05
  5. Step 5: Solve for x
    x = 12,471,393,229.05/153,877.13
  6. Step 6: Final answer
    x = 81,047.74

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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.