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Finding the Fourth Proportional to 177,411.60, 265,728.60 and 154,083.60

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Solution

The fourth proportional to 177,411.60, 265,728.60 and 154,083.60 is: 230,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,411.60 : 265,728.60 = 154,083.60 : x
  2. Step 2: Convert to fraction form
    177,411.60/265,728.60 = 154,083.60/x
  3. Step 3: Cross multiply
    177,411.60x = 265,728.60 × 154,083.60
  4. Step 4: Simplify right side
    177,411.60x = 40,944,419,310.96
  5. Step 5: Solve for x
    x = 40,944,419,310.96/177,411.60
  6. Step 6: Final answer
    x = 230,787.72

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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.