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Finding the Fourth Proportional to 259,576.62, 358,215.05 and 144,854.06

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Solution

The fourth proportional to 259,576.62, 358,215.05 and 144,854.06 is: 199,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,576.62 : 358,215.05 = 144,854.06 : x
  2. Step 2: Convert to fraction form
    259,576.62/358,215.05 = 144,854.06/x
  3. Step 3: Cross multiply
    259,576.62x = 358,215.05 × 144,854.06
  4. Step 4: Simplify right side
    259,576.62x = 51,888,901,830.26
  5. Step 5: Solve for x
    x = 51,888,901,830.26/259,576.62
  6. Step 6: Final answer
    x = 199,898.21

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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.