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Finding the Fourth Proportional to 78,109.50, 117,140.02 and 28,183.13

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Solution

The fourth proportional to 78,109.50, 117,140.02 and 28,183.13 is: 42,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109.50 : 117,140.02 = 28,183.13 : x
  2. Step 2: Convert to fraction form
    78,109.50/117,140.02 = 28,183.13/x
  3. Step 3: Cross multiply
    78,109.50x = 117,140.02 × 28,183.13
  4. Step 4: Simplify right side
    78,109.50x = 3,301,372,411.86
  5. Step 5: Solve for x
    x = 3,301,372,411.86/78,109.50
  6. Step 6: Final answer
    x = 42,265.95

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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.