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Finding the Fourth Proportional to 276,762.33, 415,143.90 and 77,083.29

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Solution

The fourth proportional to 276,762.33, 415,143.90 and 77,083.29 is: 115,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,762.33 : 415,143.90 = 77,083.29 : x
  2. Step 2: Convert to fraction form
    276,762.33/415,143.90 = 77,083.29/x
  3. Step 3: Cross multiply
    276,762.33x = 415,143.90 × 77,083.29
  4. Step 4: Simplify right side
    276,762.33x = 32,000,657,635.43
  5. Step 5: Solve for x
    x = 32,000,657,635.43/276,762.33
  6. Step 6: Final answer
    x = 115,625.05

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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.