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Finding the Fourth Proportional to 360,722.16, 541,082.72 and 144,678.36

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Solution

The fourth proportional to 360,722.16, 541,082.72 and 144,678.36 is: 217,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,722.16 : 541,082.72 = 144,678.36 : x
  2. Step 2: Convert to fraction form
    360,722.16/541,082.72 = 144,678.36/x
  3. Step 3: Cross multiply
    360,722.16x = 541,082.72 × 144,678.36
  4. Step 4: Simplify right side
    360,722.16x = 78,282,960,553.94
  5. Step 5: Solve for x
    x = 78,282,960,553.94/360,722.16
  6. Step 6: Final answer
    x = 217,017.33

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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.