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Finding the Fourth Proportional to 357,424.80, 536,240.97 and 144,082.61

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Solution

The fourth proportional to 357,424.80, 536,240.97 and 144,082.61 is: 216,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,424.80 : 536,240.97 = 144,082.61 : x
  2. Step 2: Convert to fraction form
    357,424.80/536,240.97 = 144,082.61/x
  3. Step 3: Cross multiply
    357,424.80x = 536,240.97 × 144,082.61
  4. Step 4: Simplify right side
    357,424.80x = 77,262,998,832.94
  5. Step 5: Solve for x
    x = 77,262,998,832.94/357,424.80
  6. Step 6: Final answer
    x = 216,165.75

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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.