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Finding the Fourth Proportional to 203,080.48, 280,280.57 and 117,022.71

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Solution

The fourth proportional to 203,080.48, 280,280.57 and 117,022.71 is: 161,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,080.48 : 280,280.57 = 117,022.71 : x
  2. Step 2: Convert to fraction form
    203,080.48/280,280.57 = 117,022.71/x
  3. Step 3: Cross multiply
    203,080.48x = 280,280.57 × 117,022.71
  4. Step 4: Simplify right side
    203,080.48x = 32,799,191,276.63
  5. Step 5: Solve for x
    x = 32,799,191,276.63/203,080.48
  6. Step 6: Final answer
    x = 161,508.34

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1.5x scale

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.