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Finding the Fourth Proportional to 177,787.20, 266,680.80 and 164,270.40

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Solution

The fourth proportional to 177,787.20, 266,680.80 and 164,270.40 is: 246,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,787.20 : 266,680.80 = 164,270.40 : x
  2. Step 2: Convert to fraction form
    177,787.20/266,680.80 = 164,270.40/x
  3. Step 3: Cross multiply
    177,787.20x = 266,680.80 × 164,270.40
  4. Step 4: Simplify right side
    177,787.20x = 43,807,761,688.32
  5. Step 5: Solve for x
    x = 43,807,761,688.32/177,787.20
  6. Step 6: Final answer
    x = 246,405.60

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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.