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Finding the Fourth Proportional to 119,261.76, 178,893.12 and 36,156.48

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Solution

The fourth proportional to 119,261.76, 178,893.12 and 36,156.48 is: 54,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,261.76 : 178,893.12 = 36,156.48 : x
  2. Step 2: Convert to fraction form
    119,261.76/178,893.12 = 36,156.48/x
  3. Step 3: Cross multiply
    119,261.76x = 178,893.12 × 36,156.48
  4. Step 4: Simplify right side
    119,261.76x = 6,468,145,515.42
  5. Step 5: Solve for x
    x = 6,468,145,515.42/119,261.76
  6. Step 6: Final answer
    x = 54,234.87

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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.