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Finding the Fourth Proportional to 139,977.27, 209,904.13 and 40,114.80

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Solution

The fourth proportional to 139,977.27, 209,904.13 and 40,114.80 is: 60,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,977.27 : 209,904.13 = 40,114.80 : x
  2. Step 2: Convert to fraction form
    139,977.27/209,904.13 = 40,114.80/x
  3. Step 3: Cross multiply
    139,977.27x = 209,904.13 × 40,114.80
  4. Step 4: Simplify right side
    139,977.27x = 8,420,262,194.12
  5. Step 5: Solve for x
    x = 8,420,262,194.12/139,977.27
  6. Step 6: Final answer
    x = 60,154.50

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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.