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Finding the Fourth Proportional to 264,214.14, 364,616.07 and 156,781.38

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Solution

The fourth proportional to 264,214.14, 364,616.07 and 156,781.38 is: 216,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.14 : 364,616.07 = 156,781.38 : x
  2. Step 2: Convert to fraction form
    264,214.14/364,616.07 = 156,781.38/x
  3. Step 3: Cross multiply
    264,214.14x = 364,616.07 × 156,781.38
  4. Step 4: Simplify right side
    264,214.14x = 57,165,010,624.78
  5. Step 5: Solve for x
    x = 57,165,010,624.78/264,214.14
  6. Step 6: Final answer
    x = 216,358.63

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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.