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Finding the Fourth Proportional to 252,424.82, 348,347.25 and 137,705.91

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Solution

The fourth proportional to 252,424.82, 348,347.25 and 137,705.91 is: 190,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,424.82 : 348,347.25 = 137,705.91 : x
  2. Step 2: Convert to fraction form
    252,424.82/348,347.25 = 137,705.91/x
  3. Step 3: Cross multiply
    252,424.82x = 348,347.25 × 137,705.91
  4. Step 4: Simplify right side
    252,424.82x = 47,969,473,750.95
  5. Step 5: Solve for x
    x = 47,969,473,750.95/252,424.82
  6. Step 6: Final answer
    x = 190,034.69

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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.