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Finding the Fourth Proportional to 177,401.60, 266,102.40 and 121,414.40

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Solution

The fourth proportional to 177,401.60, 266,102.40 and 121,414.40 is: 182,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,401.60 : 266,102.40 = 121,414.40 : x
  2. Step 2: Convert to fraction form
    177,401.60/266,102.40 = 121,414.40/x
  3. Step 3: Cross multiply
    177,401.60x = 266,102.40 × 121,414.40
  4. Step 4: Simplify right side
    177,401.60x = 32,308,663,234.56
  5. Step 5: Solve for x
    x = 32,308,663,234.56/177,401.60
  6. Step 6: Final answer
    x = 182,121.60

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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.