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Finding the Fourth Proportional to 177,694.60, 266,153.10 and 154,366.60

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Solution

The fourth proportional to 177,694.60, 266,153.10 and 154,366.60 is: 231,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,694.60 : 266,153.10 = 154,366.60 : x
  2. Step 2: Convert to fraction form
    177,694.60/266,153.10 = 154,366.60/x
  3. Step 3: Cross multiply
    177,694.60x = 266,153.10 × 154,366.60
  4. Step 4: Simplify right side
    177,694.60x = 41,085,149,126.46
  5. Step 5: Solve for x
    x = 41,085,149,126.46/177,694.60
  6. Step 6: Final answer
    x = 231,212.14

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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.