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Finding the Fourth Proportional to 208,809.42, 288,157.17 and 113,316.09

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Solution

The fourth proportional to 208,809.42, 288,157.17 and 113,316.09 is: 156,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,809.42 : 288,157.17 = 113,316.09 : x
  2. Step 2: Convert to fraction form
    208,809.42/288,157.17 = 113,316.09/x
  3. Step 3: Cross multiply
    208,809.42x = 288,157.17 × 113,316.09
  4. Step 4: Simplify right side
    208,809.42x = 32,652,843,809.87
  5. Step 5: Solve for x
    x = 32,652,843,809.87/208,809.42
  6. Step 6: Final answer
    x = 156,376.30

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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.