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Finding the Fourth Proportional to 102,015.20, 153,022.80 and 82,332.20

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Solution

The fourth proportional to 102,015.20, 153,022.80 and 82,332.20 is: 123,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.20 : 153,022.80 = 82,332.20 : x
  2. Step 2: Convert to fraction form
    102,015.20/153,022.80 = 82,332.20/x
  3. Step 3: Cross multiply
    102,015.20x = 153,022.80 × 82,332.20
  4. Step 4: Simplify right side
    102,015.20x = 12,598,703,774.16
  5. Step 5: Solve for x
    x = 12,598,703,774.16/102,015.20
  6. Step 6: Final answer
    x = 123,498.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.