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Finding the Fourth Proportional to 139,287, 209,013.52 and 50,547.43

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Solution

The fourth proportional to 139,287, 209,013.52 and 50,547.43 is: 75,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,287 : 209,013.52 = 50,547.43 : x
  2. Step 2: Convert to fraction form
    139,287/209,013.52 = 50,547.43/x
  3. Step 3: Cross multiply
    139,287x = 209,013.52 × 50,547.43
  4. Step 4: Simplify right side
    139,287x = 10,565,096,271.25
  5. Step 5: Solve for x
    x = 10,565,096,271.25/139,287
  6. Step 6: Final answer
    x = 75,851.27

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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.