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Finding the Fourth Proportional to 76,202.54, 114,228.50 and 36,151.21

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Solution

The fourth proportional to 76,202.54, 114,228.50 and 36,151.21 is: 54,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.54 : 114,228.50 = 36,151.21 : x
  2. Step 2: Convert to fraction form
    76,202.54/114,228.50 = 36,151.21/x
  3. Step 3: Cross multiply
    76,202.54x = 114,228.50 × 36,151.21
  4. Step 4: Simplify right side
    76,202.54x = 4,129,497,920.34
  5. Step 5: Solve for x
    x = 4,129,497,920.34/76,202.54
  6. Step 6: Final answer
    x = 54,191.08

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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.