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Finding the Fourth Proportional to 137,436.95, 205,979.25 and 119,593.46

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Solution

The fourth proportional to 137,436.95, 205,979.25 and 119,593.46 is: 179,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,436.95 : 205,979.25 = 119,593.46 : x
  2. Step 2: Convert to fraction form
    137,436.95/205,979.25 = 119,593.46/x
  3. Step 3: Cross multiply
    137,436.95x = 205,979.25 × 119,593.46
  4. Step 4: Simplify right side
    137,436.95x = 24,633,772,159.13
  5. Step 5: Solve for x
    x = 24,633,772,159.13/137,436.95
  6. Step 6: Final answer
    x = 179,236.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.