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Finding the Fourth Proportional to 208,585.90, 312,693.29 and 75,436.55

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Solution

The fourth proportional to 208,585.90, 312,693.29 and 75,436.55 is: 113,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.90 : 312,693.29 = 75,436.55 : x
  2. Step 2: Convert to fraction form
    208,585.90/312,693.29 = 75,436.55/x
  3. Step 3: Cross multiply
    208,585.90x = 312,693.29 × 75,436.55
  4. Step 4: Simplify right side
    208,585.90x = 23,588,504,703.82
  5. Step 5: Solve for x
    x = 23,588,504,703.82/208,585.90
  6. Step 6: Final answer
    x = 113,087.72

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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.