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Finding the Fourth Proportional to 178,066.35, 267,098.51 and 44,946.06

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Solution

The fourth proportional to 178,066.35, 267,098.51 and 44,946.06 is: 67,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,066.35 : 267,098.51 = 44,946.06 : x
  2. Step 2: Convert to fraction form
    178,066.35/267,098.51 = 44,946.06/x
  3. Step 3: Cross multiply
    178,066.35x = 267,098.51 × 44,946.06
  4. Step 4: Simplify right side
    178,066.35x = 12,005,025,431.64
  5. Step 5: Solve for x
    x = 12,005,025,431.64/178,066.35
  6. Step 6: Final answer
    x = 67,418.83

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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.