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Finding the Fourth Proportional to 208,325.42, 287,489.09 and 112,832.12

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Solution

The fourth proportional to 208,325.42, 287,489.09 and 112,832.12 is: 155,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,325.42 : 287,489.09 = 112,832.12 : x
  2. Step 2: Convert to fraction form
    208,325.42/287,489.09 = 112,832.12/x
  3. Step 3: Cross multiply
    208,325.42x = 287,489.09 × 112,832.12
  4. Step 4: Simplify right side
    208,325.42x = 32,438,003,501.57
  5. Step 5: Solve for x
    x = 32,438,003,501.57/208,325.42
  6. Step 6: Final answer
    x = 155,708.33

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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.