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Finding the Fourth Proportional to 254,650, 351,176.12 and 167,280.85

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Solution

The fourth proportional to 254,650, 351,176.12 and 167,280.85 is: 230,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,650 : 351,176.12 = 167,280.85 : x
  2. Step 2: Convert to fraction form
    254,650/351,176.12 = 167,280.85/x
  3. Step 3: Cross multiply
    254,650x = 351,176.12 × 167,280.85
  4. Step 4: Simplify right side
    254,650x = 58,745,039,853.30
  5. Step 5: Solve for x
    x = 58,745,039,853.30/254,650
  6. Step 6: Final answer
    x = 230,689.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.