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Finding the Fourth Proportional to 178,019.72, 267,214.11 and 119,265.96

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Solution

The fourth proportional to 178,019.72, 267,214.11 and 119,265.96 is: 179,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,019.72 : 267,214.11 = 119,265.96 : x
  2. Step 2: Convert to fraction form
    178,019.72/267,214.11 = 119,265.96/x
  3. Step 3: Cross multiply
    178,019.72x = 267,214.11 × 119,265.96
  4. Step 4: Simplify right side
    178,019.72x = 31,869,547,354.70
  5. Step 5: Solve for x
    x = 31,869,547,354.70/178,019.72
  6. Step 6: Final answer
    x = 179,022.57

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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.