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Finding the Fourth Proportional to 304,148.80, 456,223.20 and 82,532.80

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Solution

The fourth proportional to 304,148.80, 456,223.20 and 82,532.80 is: 123,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148.80 : 456,223.20 = 82,532.80 : x
  2. Step 2: Convert to fraction form
    304,148.80/456,223.20 = 82,532.80/x
  3. Step 3: Cross multiply
    304,148.80x = 456,223.20 × 82,532.80
  4. Step 4: Simplify right side
    304,148.80x = 37,653,378,120.96
  5. Step 5: Solve for x
    x = 37,653,378,120.96/304,148.80
  6. Step 6: Final answer
    x = 123,799.20

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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.