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Finding the Fourth Proportional to 276,759.23, 415,149.75 and 77,097.06

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Solution

The fourth proportional to 276,759.23, 415,149.75 and 77,097.06 is: 115,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,759.23 : 415,149.75 = 77,097.06 : x
  2. Step 2: Convert to fraction form
    276,759.23/415,149.75 = 77,097.06/x
  3. Step 3: Cross multiply
    276,759.23x = 415,149.75 × 77,097.06
  4. Step 4: Simplify right side
    276,759.23x = 32,006,825,184.74
  5. Step 5: Solve for x
    x = 32,006,825,184.74/276,759.23
  6. Step 6: Final answer
    x = 115,648.63

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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.