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Finding the Fourth Proportional to 261,098.58, 360,317.25 and 147,943.38

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Solution

The fourth proportional to 261,098.58, 360,317.25 and 147,943.38 is: 204,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,098.58 : 360,317.25 = 147,943.38 : x
  2. Step 2: Convert to fraction form
    261,098.58/360,317.25 = 147,943.38/x
  3. Step 3: Cross multiply
    261,098.58x = 360,317.25 × 147,943.38
  4. Step 4: Simplify right side
    261,098.58x = 53,306,551,837.31
  5. Step 5: Solve for x
    x = 53,306,551,837.31/261,098.58
  6. Step 6: Final answer
    x = 204,162.55

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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.