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Finding the Fourth Proportional to 137,874.12, 190,261.26 and 84,248.88

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Solution

The fourth proportional to 137,874.12, 190,261.26 and 84,248.88 is: 116,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.12 : 190,261.26 = 84,248.88 : x
  2. Step 2: Convert to fraction form
    137,874.12/190,261.26 = 84,248.88/x
  3. Step 3: Cross multiply
    137,874.12x = 190,261.26 × 84,248.88
  4. Step 4: Simplify right side
    137,874.12x = 16,029,298,062.39
  5. Step 5: Solve for x
    x = 16,029,298,062.39/137,874.12
  6. Step 6: Final answer
    x = 116,260.38

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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.