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Finding the Fourth Proportional to 178,434.80, 267,846.60 and 99,702.80

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Solution

The fourth proportional to 178,434.80, 267,846.60 and 99,702.80 is: 149,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434.80 : 267,846.60 = 99,702.80 : x
  2. Step 2: Convert to fraction form
    178,434.80/267,846.60 = 99,702.80/x
  3. Step 3: Cross multiply
    178,434.80x = 267,846.60 × 99,702.80
  4. Step 4: Simplify right side
    178,434.80x = 26,705,055,990.48
  5. Step 5: Solve for x
    x = 26,705,055,990.48/178,434.80
  6. Step 6: Final answer
    x = 149,662.82

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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.