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Finding the Fourth Proportional to 304,273.80, 456,410.70 and 138,061.80

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Solution

The fourth proportional to 304,273.80, 456,410.70 and 138,061.80 is: 207,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,273.80 : 456,410.70 = 138,061.80 : x
  2. Step 2: Convert to fraction form
    304,273.80/456,410.70 = 138,061.80/x
  3. Step 3: Cross multiply
    304,273.80x = 456,410.70 × 138,061.80
  4. Step 4: Simplify right side
    304,273.80x = 63,012,882,781.26
  5. Step 5: Solve for x
    x = 63,012,882,781.26/304,273.80
  6. Step 6: Final answer
    x = 207,092.70

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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.