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Finding the Fourth Proportional to 82,252.20, 114,919.80 and 82,252.20

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Solution

The fourth proportional to 82,252.20, 114,919.80 and 82,252.20 is: 114,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,252.20 : 114,919.80 = 82,252.20 : x
  2. Step 2: Convert to fraction form
    82,252.20/114,919.80 = 82,252.20/x
  3. Step 3: Cross multiply
    82,252.20x = 114,919.80 × 82,252.20
  4. Step 4: Simplify right side
    82,252.20x = 9,452,406,373.56
  5. Step 5: Solve for x
    x = 9,452,406,373.56/82,252.20
  6. Step 6: Final answer
    x = 114,919.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.