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Finding the Fourth Proportional to 208,590.53, 287,853.35 and 113,096.52

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Solution

The fourth proportional to 208,590.53, 287,853.35 and 113,096.52 is: 156,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.53 : 287,853.35 = 113,096.52 : x
  2. Step 2: Convert to fraction form
    208,590.53/287,853.35 = 113,096.52/x
  3. Step 3: Cross multiply
    208,590.53x = 287,853.35 × 113,096.52
  4. Step 4: Simplify right side
    208,590.53x = 32,555,211,589.86
  5. Step 5: Solve for x
    x = 32,555,211,589.86/208,590.53
  6. Step 6: Final answer
    x = 156,072.34

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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.