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Finding the Fourth Proportional to 202,789.36, 304,226.87 and 76,426.93

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Solution

The fourth proportional to 202,789.36, 304,226.87 and 76,426.93 is: 114,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,789.36 : 304,226.87 = 76,426.93 : x
  2. Step 2: Convert to fraction form
    202,789.36/304,226.87 = 76,426.93/x
  3. Step 3: Cross multiply
    202,789.36x = 304,226.87 × 76,426.93
  4. Step 4: Simplify right side
    202,789.36x = 23,251,125,697.61
  5. Step 5: Solve for x
    x = 23,251,125,697.61/202,789.36
  6. Step 6: Final answer
    x = 114,656.54

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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.