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Finding the Fourth Proportional to 76,206.20, 114,308.02 and 20,802.20

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Solution

The fourth proportional to 76,206.20, 114,308.02 and 20,802.20 is: 31,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206.20 : 114,308.02 = 20,802.20 : x
  2. Step 2: Convert to fraction form
    76,206.20/114,308.02 = 20,802.20/x
  3. Step 3: Cross multiply
    76,206.20x = 114,308.02 × 20,802.20
  4. Step 4: Simplify right side
    76,206.20x = 2,377,858,293.64
  5. Step 5: Solve for x
    x = 2,377,858,293.64/76,206.20
  6. Step 6: Final answer
    x = 31,202.95

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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.