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Finding the Fourth Proportional to 259,393.80, 357,956.16 and 144,675.92

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Solution

The fourth proportional to 259,393.80, 357,956.16 and 144,675.92 is: 199,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,393.80 : 357,956.16 = 144,675.92 : x
  2. Step 2: Convert to fraction form
    259,393.80/357,956.16 = 144,675.92/x
  3. Step 3: Cross multiply
    259,393.80x = 357,956.16 × 144,675.92
  4. Step 4: Simplify right side
    259,393.80x = 51,787,636,767.67
  5. Step 5: Solve for x
    x = 51,787,636,767.67/259,393.80
  6. Step 6: Final answer
    x = 199,648.71

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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.