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Finding the Fourth Proportional to 178,523.63, 267,784.29 and 45,402.74

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Solution

The fourth proportional to 178,523.63, 267,784.29 and 45,402.74 is: 68,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,523.63 : 267,784.29 = 45,402.74 : x
  2. Step 2: Convert to fraction form
    178,523.63/267,784.29 = 45,402.74/x
  3. Step 3: Cross multiply
    178,523.63x = 267,784.29 × 45,402.74
  4. Step 4: Simplify right side
    178,523.63x = 12,158,140,330.48
  5. Step 5: Solve for x
    x = 12,158,140,330.48/178,523.63
  6. Step 6: Final answer
    x = 68,103.81

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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.