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Finding the Fourth Proportional to 193,617.80, 290,426.70 and 188,433.80

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Solution

The fourth proportional to 193,617.80, 290,426.70 and 188,433.80 is: 282,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,617.80 : 290,426.70 = 188,433.80 : x
  2. Step 2: Convert to fraction form
    193,617.80/290,426.70 = 188,433.80/x
  3. Step 3: Cross multiply
    193,617.80x = 290,426.70 × 188,433.80
  4. Step 4: Simplify right side
    193,617.80x = 54,726,206,702.46
  5. Step 5: Solve for x
    x = 54,726,206,702.46/193,617.80
  6. Step 6: Final answer
    x = 282,650.70

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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.