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Finding the Fourth Proportional to 139,289, 209,016.52 and 50,549.44

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Solution

The fourth proportional to 139,289, 209,016.52 and 50,549.44 is: 75,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,289 : 209,016.52 = 50,549.44 : x
  2. Step 2: Convert to fraction form
    139,289/209,016.52 = 50,549.44/x
  3. Step 3: Cross multiply
    139,289x = 209,016.52 × 50,549.44
  4. Step 4: Simplify right side
    139,289x = 10,565,668,036.75
  5. Step 5: Solve for x
    x = 10,565,668,036.75/139,289
  6. Step 6: Final answer
    x = 75,854.29

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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.