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Finding the Fourth Proportional to 208,573.53, 312,832.54 and 58,825.85

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Solution

The fourth proportional to 208,573.53, 312,832.54 and 58,825.85 is: 88,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,573.53 : 312,832.54 = 58,825.85 : x
  2. Step 2: Convert to fraction form
    208,573.53/312,832.54 = 58,825.85/x
  3. Step 3: Cross multiply
    208,573.53x = 312,832.54 × 58,825.85
  4. Step 4: Simplify right side
    208,573.53x = 18,402,640,073.16
  5. Step 5: Solve for x
    x = 18,402,640,073.16/208,573.53
  6. Step 6: Final answer
    x = 88,230.95

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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.