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Finding the Fourth Proportional to 259,551.65, 358,097.41 and 144,811.71

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Solution

The fourth proportional to 259,551.65, 358,097.41 and 144,811.71 is: 199,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,551.65 : 358,097.41 = 144,811.71 : x
  2. Step 2: Convert to fraction form
    259,551.65/358,097.41 = 144,811.71/x
  3. Step 3: Cross multiply
    259,551.65x = 358,097.41 × 144,811.71
  4. Step 4: Simplify right side
    259,551.65x = 51,856,698,288.67
  5. Step 5: Solve for x
    x = 51,856,698,288.67/259,551.65
  6. Step 6: Final answer
    x = 199,793.37

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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.