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Finding the Fourth Proportional to 259,251.84, 357,766.47 and 144,529.11

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Solution

The fourth proportional to 259,251.84, 357,766.47 and 144,529.11 is: 199,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,251.84 : 357,766.47 = 144,529.11 : x
  2. Step 2: Convert to fraction form
    259,251.84/357,766.47 = 144,529.11/x
  3. Step 3: Cross multiply
    259,251.84x = 357,766.47 × 144,529.11
  4. Step 4: Simplify right side
    259,251.84x = 51,707,669,496.94
  5. Step 5: Solve for x
    x = 51,707,669,496.94/259,251.84
  6. Step 6: Final answer
    x = 199,449.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.