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Finding the Fourth Proportional to 208,023.20, 312,034.80 and 83,453.60

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Solution

The fourth proportional to 208,023.20, 312,034.80 and 83,453.60 is: 125,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,023.20 : 312,034.80 = 83,453.60 : x
  2. Step 2: Convert to fraction form
    208,023.20/312,034.80 = 83,453.60/x
  3. Step 3: Cross multiply
    208,023.20x = 312,034.80 × 83,453.60
  4. Step 4: Simplify right side
    208,023.20x = 26,040,427,385.28
  5. Step 5: Solve for x
    x = 26,040,427,385.28/208,023.20
  6. Step 6: Final answer
    x = 125,180.40

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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.