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Finding the Fourth Proportional to 208,585.98, 312,693.41 and 75,436.64

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Solution

The fourth proportional to 208,585.98, 312,693.41 and 75,436.64 is: 113,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.98 : 312,693.41 = 75,436.64 : x
  2. Step 2: Convert to fraction form
    208,585.98/312,693.41 = 75,436.64/x
  3. Step 3: Cross multiply
    208,585.98x = 312,693.41 × 75,436.64
  4. Step 4: Simplify right side
    208,585.98x = 23,588,538,637.08
  5. Step 5: Solve for x
    x = 23,588,538,637.08/208,585.98
  6. Step 6: Final answer
    x = 113,087.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.