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Finding the Fourth Proportional to 208,233.38, 312,347.34 and 50,463.20

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Solution

The fourth proportional to 208,233.38, 312,347.34 and 50,463.20 is: 75,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.38 : 312,347.34 = 50,463.20 : x
  2. Step 2: Convert to fraction form
    208,233.38/312,347.34 = 50,463.20/x
  3. Step 3: Cross multiply
    208,233.38x = 312,347.34 × 50,463.20
  4. Step 4: Simplify right side
    208,233.38x = 15,762,047,068.76
  5. Step 5: Solve for x
    x = 15,762,047,068.76/208,233.38
  6. Step 6: Final answer
    x = 75,694.14

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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.