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Finding the Fourth Proportional to 80,278.90, 120,386.01 and 52,156.81

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Solution

The fourth proportional to 80,278.90, 120,386.01 and 52,156.81 is: 78,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,278.90 : 120,386.01 = 52,156.81 : x
  2. Step 2: Convert to fraction form
    80,278.90/120,386.01 = 52,156.81/x
  3. Step 3: Cross multiply
    80,278.90x = 120,386.01 × 52,156.81
  4. Step 4: Simplify right side
    80,278.90x = 6,278,950,250.23
  5. Step 5: Solve for x
    x = 6,278,950,250.23/80,278.90
  6. Step 6: Final answer
    x = 78,214.20

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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.