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Finding the Fourth Proportional to 252,540.83, 348,513.71 and 137,826.87

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Solution

The fourth proportional to 252,540.83, 348,513.71 and 137,826.87 is: 190,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,540.83 : 348,513.71 = 137,826.87 : x
  2. Step 2: Convert to fraction form
    252,540.83/348,513.71 = 137,826.87/x
  3. Step 3: Cross multiply
    252,540.83x = 348,513.71 × 137,826.87
  4. Step 4: Simplify right side
    252,540.83x = 48,034,553,112.25
  5. Step 5: Solve for x
    x = 48,034,553,112.25/252,540.83
  6. Step 6: Final answer
    x = 190,205.10

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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.