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Finding the Fourth Proportional to 136,404.80, 188,173.42 and 105,981.92

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Solution

The fourth proportional to 136,404.80, 188,173.42 and 105,981.92 is: 146,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,404.80 : 188,173.42 = 105,981.92 : x
  2. Step 2: Convert to fraction form
    136,404.80/188,173.42 = 105,981.92/x
  3. Step 3: Cross multiply
    136,404.80x = 188,173.42 × 105,981.92
  4. Step 4: Simplify right side
    136,404.80x = 19,942,980,344.57
  5. Step 5: Solve for x
    x = 19,942,980,344.57/136,404.80
  6. Step 6: Final answer
    x = 146,204.39

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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.