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Finding the Fourth Proportional to 276,111.54, 414,167.90 and 76,432.50

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Solution

The fourth proportional to 276,111.54, 414,167.90 and 76,432.50 is: 114,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,111.54 : 414,167.90 = 76,432.50 : x
  2. Step 2: Convert to fraction form
    276,111.54/414,167.90 = 76,432.50/x
  3. Step 3: Cross multiply
    276,111.54x = 414,167.90 × 76,432.50
  4. Step 4: Simplify right side
    276,111.54x = 31,655,887,634.59
  5. Step 5: Solve for x
    x = 31,655,887,634.59/276,111.54
  6. Step 6: Final answer
    x = 114,648.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.