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Finding the Fourth Proportional to 154,877.20, 231,970.20 and 127,229.20

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Solution

The fourth proportional to 154,877.20, 231,970.20 and 127,229.20 is: 190,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,877.20 : 231,970.20 = 127,229.20 : x
  2. Step 2: Convert to fraction form
    154,877.20/231,970.20 = 127,229.20/x
  3. Step 3: Cross multiply
    154,877.20x = 231,970.20 × 127,229.20
  4. Step 4: Simplify right side
    154,877.20x = 29,513,382,969.84
  5. Step 5: Solve for x
    x = 29,513,382,969.84/154,877.20
  6. Step 6: Final answer
    x = 190,559.89

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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.