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Finding the Fourth Proportional to 208,830.40, 313,245.60 and 68,603.20

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Solution

The fourth proportional to 208,830.40, 313,245.60 and 68,603.20 is: 102,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,830.40 : 313,245.60 = 68,603.20 : x
  2. Step 2: Convert to fraction form
    208,830.40/313,245.60 = 68,603.20/x
  3. Step 3: Cross multiply
    208,830.40x = 313,245.60 × 68,603.20
  4. Step 4: Simplify right side
    208,830.40x = 21,489,650,545.92
  5. Step 5: Solve for x
    x = 21,489,650,545.92/208,830.40
  6. Step 6: Final answer
    x = 102,904.80

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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.