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Finding the Fourth Proportional to 276,106.41, 381,024.95 and 156,874.41

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Solution

The fourth proportional to 276,106.41, 381,024.95 and 156,874.41 is: 216,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,106.41 : 381,024.95 = 156,874.41 : x
  2. Step 2: Convert to fraction form
    276,106.41/381,024.95 = 156,874.41/x
  3. Step 3: Cross multiply
    276,106.41x = 381,024.95 × 156,874.41
  4. Step 4: Simplify right side
    276,106.41x = 59,773,063,442.16
  5. Step 5: Solve for x
    x = 59,773,063,442.16/276,106.41
  6. Step 6: Final answer
    x = 216,485.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.