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Finding the Fourth Proportional to 82,267.20, 114,940.80 and 82,267.20

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Solution

The fourth proportional to 82,267.20, 114,940.80 and 82,267.20 is: 114,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267.20 : 114,940.80 = 82,267.20 : x
  2. Step 2: Convert to fraction form
    82,267.20/114,940.80 = 82,267.20/x
  3. Step 3: Cross multiply
    82,267.20x = 114,940.80 × 82,267.20
  4. Step 4: Simplify right side
    82,267.20x = 9,455,857,781.76
  5. Step 5: Solve for x
    x = 9,455,857,781.76/82,267.20
  6. Step 6: Final answer
    x = 114,940.80

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