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Finding the Fourth Proportional to 208,546.30, 312,819.45 and 129,814.30

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Solution

The fourth proportional to 208,546.30, 312,819.45 and 129,814.30 is: 194,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.30 : 312,819.45 = 129,814.30 : x
  2. Step 2: Convert to fraction form
    208,546.30/312,819.45 = 129,814.30/x
  3. Step 3: Cross multiply
    208,546.30x = 312,819.45 × 129,814.30
  4. Step 4: Simplify right side
    208,546.30x = 40,608,437,928.14
  5. Step 5: Solve for x
    x = 40,608,437,928.14/208,546.30
  6. Step 6: Final answer
    x = 194,721.45

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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.