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Finding the Fourth Proportional to 234,943, 324,098.82 and 144,319.38

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Solution

The fourth proportional to 234,943, 324,098.82 and 144,319.38 is: 199,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,943 : 324,098.82 = 144,319.38 : x
  2. Step 2: Convert to fraction form
    234,943/324,098.82 = 144,319.38/x
  3. Step 3: Cross multiply
    234,943x = 324,098.82 × 144,319.38
  4. Step 4: Simplify right side
    234,943x = 46,773,740,761.13
  5. Step 5: Solve for x
    x = 46,773,740,761.13/234,943
  6. Step 6: Final answer
    x = 199,085.48

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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.