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Finding the Fourth Proportional to 137,518.65, 205,337.16 and 123,194.70

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Solution

The fourth proportional to 137,518.65, 205,337.16 and 123,194.70 is: 183,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,518.65 : 205,337.16 = 123,194.70 : x
  2. Step 2: Convert to fraction form
    137,518.65/205,337.16 = 123,194.70/x
  3. Step 3: Cross multiply
    137,518.65x = 205,337.16 × 123,194.70
  4. Step 4: Simplify right side
    137,518.65x = 25,296,449,825.05
  5. Step 5: Solve for x
    x = 25,296,449,825.05/137,518.65
  6. Step 6: Final answer
    x = 183,949.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.