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Finding the Fourth Proportional to 154,047.80, 231,071.70 and 137,718.20

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Solution

The fourth proportional to 154,047.80, 231,071.70 and 137,718.20 is: 206,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,047.80 : 231,071.70 = 137,718.20 : x
  2. Step 2: Convert to fraction form
    154,047.80/231,071.70 = 137,718.20/x
  3. Step 3: Cross multiply
    154,047.80x = 231,071.70 × 137,718.20
  4. Step 4: Simplify right side
    154,047.80x = 31,822,778,594.94
  5. Step 5: Solve for x
    x = 31,822,778,594.94/154,047.80
  6. Step 6: Final answer
    x = 206,577.30

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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.