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Finding the Fourth Proportional to 154,534.80, 231,802.20 and 54,694.20

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Solution

The fourth proportional to 154,534.80, 231,802.20 and 54,694.20 is: 82,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,534.80 : 231,802.20 = 54,694.20 : x
  2. Step 2: Convert to fraction form
    154,534.80/231,802.20 = 54,694.20/x
  3. Step 3: Cross multiply
    154,534.80x = 231,802.20 × 54,694.20
  4. Step 4: Simplify right side
    154,534.80x = 12,678,235,887.24
  5. Step 5: Solve for x
    x = 12,678,235,887.24/154,534.80
  6. Step 6: Final answer
    x = 82,041.30

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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.