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Finding the Fourth Proportional to 252,690.78, 348,713.94 and 137,969.58

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Solution

The fourth proportional to 252,690.78, 348,713.94 and 137,969.58 is: 190,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,690.78 : 348,713.94 = 137,969.58 : x
  2. Step 2: Convert to fraction form
    252,690.78/348,713.94 = 137,969.58/x
  3. Step 3: Cross multiply
    252,690.78x = 348,713.94 × 137,969.58
  4. Step 4: Simplify right side
    252,690.78x = 48,111,915,841.95
  5. Step 5: Solve for x
    x = 48,111,915,841.95/252,690.78
  6. Step 6: Final answer
    x = 190,398.38

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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.