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Finding the Fourth Proportional to 208,596.60, 312,919.20 and 75,539.52

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Solution

The fourth proportional to 208,596.60, 312,919.20 and 75,539.52 is: 113,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,596.60 : 312,919.20 = 75,539.52 : x
  2. Step 2: Convert to fraction form
    208,596.60/312,919.20 = 75,539.52/x
  3. Step 3: Cross multiply
    208,596.60x = 312,919.20 × 75,539.52
  4. Step 4: Simplify right side
    208,596.60x = 23,637,766,166.78
  5. Step 5: Solve for x
    x = 23,637,766,166.78/208,596.60
  6. Step 6: Final answer
    x = 113,318.08

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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.