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Finding the Fourth Proportional to 178,042.80, 267,064.20 and 157,825.20

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Solution

The fourth proportional to 178,042.80, 267,064.20 and 157,825.20 is: 236,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,042.80 : 267,064.20 = 157,825.20 : x
  2. Step 2: Convert to fraction form
    178,042.80/267,064.20 = 157,825.20/x
  3. Step 3: Cross multiply
    178,042.80x = 267,064.20 × 157,825.20
  4. Step 4: Simplify right side
    178,042.80x = 42,149,460,777.84
  5. Step 5: Solve for x
    x = 42,149,460,777.84/178,042.80
  6. Step 6: Final answer
    x = 236,737.80

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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.