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Finding the Fourth Proportional to 253,969.20, 381,007.08 and 96,194.16

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Solution

The fourth proportional to 253,969.20, 381,007.08 and 96,194.16 is: 144,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,969.20 : 381,007.08 = 96,194.16 : x
  2. Step 2: Convert to fraction form
    253,969.20/381,007.08 = 96,194.16/x
  3. Step 3: Cross multiply
    253,969.20x = 381,007.08 × 96,194.16
  4. Step 4: Simplify right side
    253,969.20x = 36,650,656,014.65
  5. Step 5: Solve for x
    x = 36,650,656,014.65/253,969.20
  6. Step 6: Final answer
    x = 144,311.42

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1.5x scale

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.