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Finding the Fourth Proportional to 208,639.16, 312,880.16 and 75,486.50

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Solution

The fourth proportional to 208,639.16, 312,880.16 and 75,486.50 is: 113,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,639.16 : 312,880.16 = 75,486.50 : x
  2. Step 2: Convert to fraction form
    208,639.16/312,880.16 = 75,486.50/x
  3. Step 3: Cross multiply
    208,639.16x = 312,880.16 × 75,486.50
  4. Step 4: Simplify right side
    208,639.16x = 23,618,226,822.16
  5. Step 5: Solve for x
    x = 23,618,226,822.16/208,639.16
  6. Step 6: Final answer
    x = 113,201.32

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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.