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Finding the Fourth Proportional to 193,089.80, 266,449.38 and 108,190.46

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Solution

The fourth proportional to 193,089.80, 266,449.38 and 108,190.46 is: 149,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,089.80 : 266,449.38 = 108,190.46 : x
  2. Step 2: Convert to fraction form
    193,089.80/266,449.38 = 108,190.46/x
  3. Step 3: Cross multiply
    193,089.80x = 266,449.38 × 108,190.46
  4. Step 4: Simplify right side
    193,089.80x = 28,827,280,988.91
  5. Step 5: Solve for x
    x = 28,827,280,988.91/193,089.80
  6. Step 6: Final answer
    x = 149,294.69

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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.