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Finding the Fourth Proportional to 199,426.38, 275,197.59 and 114,543.47

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Solution

The fourth proportional to 199,426.38, 275,197.59 and 114,543.47 is: 158,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,426.38 : 275,197.59 = 114,543.47 : x
  2. Step 2: Convert to fraction form
    199,426.38/275,197.59 = 114,543.47/x
  3. Step 3: Cross multiply
    199,426.38x = 275,197.59 × 114,543.47
  4. Step 4: Simplify right side
    199,426.38x = 31,522,085,518.25
  5. Step 5: Solve for x
    x = 31,522,085,518.25/199,426.38
  6. Step 6: Final answer
    x = 158,063.77

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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.