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Finding the Fourth Proportional to 139,863.36, 209,793.50 and 83,719.16

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Solution

The fourth proportional to 139,863.36, 209,793.50 and 83,719.16 is: 125,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,863.36 : 209,793.50 = 83,719.16 : x
  2. Step 2: Convert to fraction form
    139,863.36/209,793.50 = 83,719.16/x
  3. Step 3: Cross multiply
    139,863.36x = 209,793.50 × 83,719.16
  4. Step 4: Simplify right side
    139,863.36x = 17,563,734,125.90
  5. Step 5: Solve for x
    x = 17,563,734,125.90/139,863.36
  6. Step 6: Final answer
    x = 125,577.81

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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.