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Finding the Fourth Proportional to 265,276.30, 366,069.36 and 144,414.50

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Solution

The fourth proportional to 265,276.30, 366,069.36 and 144,414.50 is: 199,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,276.30 : 366,069.36 = 144,414.50 : x
  2. Step 2: Convert to fraction form
    265,276.30/366,069.36 = 144,414.50/x
  3. Step 3: Cross multiply
    265,276.30x = 366,069.36 × 144,414.50
  4. Step 4: Simplify right side
    265,276.30x = 52,865,723,589.72
  5. Step 5: Solve for x
    x = 52,865,723,589.72/265,276.30
  6. Step 6: Final answer
    x = 199,285.51

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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.