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Finding the Fourth Proportional to 76,193, 114,214.16 and 36,141.76

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Solution

The fourth proportional to 76,193, 114,214.16 and 36,141.76 is: 54,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193 : 114,214.16 = 36,141.76 : x
  2. Step 2: Convert to fraction form
    76,193/114,214.16 = 36,141.76/x
  3. Step 3: Cross multiply
    76,193x = 114,214.16 × 36,141.76
  4. Step 4: Simplify right side
    76,193x = 4,127,900,759.32
  5. Step 5: Solve for x
    x = 4,127,900,759.32/76,193
  6. Step 6: Final answer
    x = 54,176.90

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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.