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Finding the Fourth Proportional to 208,902.24, 288,280.62 and 113,408.10

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Solution

The fourth proportional to 208,902.24, 288,280.62 and 113,408.10 is: 156,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,902.24 : 288,280.62 = 113,408.10 : x
  2. Step 2: Convert to fraction form
    208,902.24/288,280.62 = 113,408.10/x
  3. Step 3: Cross multiply
    208,902.24x = 288,280.62 × 113,408.10
  4. Step 4: Simplify right side
    208,902.24x = 32,693,357,381.02
  5. Step 5: Solve for x
    x = 32,693,357,381.02/208,902.24
  6. Step 6: Final answer
    x = 156,500.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.