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Finding the Fourth Proportional to 264,641.27, 396,961.28 and 114,862.14

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Solution

The fourth proportional to 264,641.27, 396,961.28 and 114,862.14 is: 172,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,641.27 : 396,961.28 = 114,862.14 : x
  2. Step 2: Convert to fraction form
    264,641.27/396,961.28 = 114,862.14/x
  3. Step 3: Cross multiply
    264,641.27x = 396,961.28 × 114,862.14
  4. Step 4: Simplify right side
    264,641.27x = 45,595,821,543.63
  5. Step 5: Solve for x
    x = 45,595,821,543.63/264,641.27
  6. Step 6: Final answer
    x = 172,292.94

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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.