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Finding the Fourth Proportional to 177,826.60, 266,083.80 and 162,080.20

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Solution

The fourth proportional to 177,826.60, 266,083.80 and 162,080.20 is: 242,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,826.60 : 266,083.80 = 162,080.20 : x
  2. Step 2: Convert to fraction form
    177,826.60/266,083.80 = 162,080.20/x
  3. Step 3: Cross multiply
    177,826.60x = 266,083.80 × 162,080.20
  4. Step 4: Simplify right side
    177,826.60x = 43,126,915,520.76
  5. Step 5: Solve for x
    x = 43,126,915,520.76/177,826.60
  6. Step 6: Final answer
    x = 242,522.30

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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.