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Finding the Fourth Proportional to 275,812.95, 413,711.19 and 76,145.52

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Solution

The fourth proportional to 275,812.95, 413,711.19 and 76,145.52 is: 114,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.95 : 413,711.19 = 76,145.52 : x
  2. Step 2: Convert to fraction form
    275,812.95/413,711.19 = 76,145.52/x
  3. Step 3: Cross multiply
    275,812.95x = 413,711.19 × 76,145.52
  4. Step 4: Simplify right side
    275,812.95x = 31,502,253,692.37
  5. Step 5: Solve for x
    x = 31,502,253,692.37/275,812.95
  6. Step 6: Final answer
    x = 114,216.01

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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.