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Finding the Fourth Proportional to 154,048.70, 230,963.70 and 69,849.20

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Solution

The fourth proportional to 154,048.70, 230,963.70 and 69,849.20 is: 104,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,048.70 : 230,963.70 = 69,849.20 : x
  2. Step 2: Convert to fraction form
    154,048.70/230,963.70 = 69,849.20/x
  3. Step 3: Cross multiply
    154,048.70x = 230,963.70 × 69,849.20
  4. Step 4: Simplify right side
    154,048.70x = 16,132,629,674.04
  5. Step 5: Solve for x
    x = 16,132,629,674.04/154,048.70
  6. Step 6: Final answer
    x = 104,724.22

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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.