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Finding the Fourth Proportional to 177,024.20, 266,054.70 and 154,214.60

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Solution

The fourth proportional to 177,024.20, 266,054.70 and 154,214.60 is: 231,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,024.20 : 266,054.70 = 154,214.60 : x
  2. Step 2: Convert to fraction form
    177,024.20/266,054.70 = 154,214.60/x
  3. Step 3: Cross multiply
    177,024.20x = 266,054.70 × 154,214.60
  4. Step 4: Simplify right side
    177,024.20x = 41,029,519,138.62
  5. Step 5: Solve for x
    x = 41,029,519,138.62/177,024.20
  6. Step 6: Final answer
    x = 231,773.50

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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.