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Finding the Fourth Proportional to 208,085.90, 312,129.72 and 50,314.10

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Solution

The fourth proportional to 208,085.90, 312,129.72 and 50,314.10 is: 75,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085.90 : 312,129.72 = 50,314.10 : x
  2. Step 2: Convert to fraction form
    208,085.90/312,129.72 = 50,314.10/x
  3. Step 3: Cross multiply
    208,085.90x = 312,129.72 × 50,314.10
  4. Step 4: Simplify right side
    208,085.90x = 15,704,524,384.40
  5. Step 5: Solve for x
    x = 15,704,524,384.40/208,085.90
  6. Step 6: Final answer
    x = 75,471.35

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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.