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Finding the Fourth Proportional to 178,734.98, 268,102.24 and 45,615.25

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Solution

The fourth proportional to 178,734.98, 268,102.24 and 45,615.25 is: 68,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,734.98 : 268,102.24 = 45,615.25 : x
  2. Step 2: Convert to fraction form
    178,734.98/268,102.24 = 45,615.25/x
  3. Step 3: Cross multiply
    178,734.98x = 268,102.24 × 45,615.25
  4. Step 4: Simplify right side
    178,734.98x = 12,229,549,672.76
  5. Step 5: Solve for x
    x = 12,229,549,672.76/178,734.98
  6. Step 6: Final answer
    x = 68,422.81

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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.