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Finding the Fourth Proportional to 208,592.16, 312,702.60 and 75,442.85

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Solution

The fourth proportional to 208,592.16, 312,702.60 and 75,442.85 is: 113,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.16 : 312,702.60 = 75,442.85 : x
  2. Step 2: Convert to fraction form
    208,592.16/312,702.60 = 75,442.85/x
  3. Step 3: Cross multiply
    208,592.16x = 312,702.60 × 75,442.85
  4. Step 4: Simplify right side
    208,592.16x = 23,591,173,782.90
  5. Step 5: Solve for x
    x = 23,591,173,782.90/208,592.16
  6. Step 6: Final answer
    x = 113,097.13

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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.