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Finding the Fourth Proportional to 208,269.46, 312,339.45 and 75,132.32

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Solution

The fourth proportional to 208,269.46, 312,339.45 and 75,132.32 is: 112,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,269.46 : 312,339.45 = 75,132.32 : x
  2. Step 2: Convert to fraction form
    208,269.46/312,339.45 = 75,132.32/x
  3. Step 3: Cross multiply
    208,269.46x = 312,339.45 × 75,132.32
  4. Step 4: Simplify right side
    208,269.46x = 23,466,787,506.02
  5. Step 5: Solve for x
    x = 23,466,787,506.02/208,269.46
  6. Step 6: Final answer
    x = 112,675.13

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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.