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Finding the Fourth Proportional to 188,210.89, 282,067.14 and 138,056.15

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Solution

The fourth proportional to 188,210.89, 282,067.14 and 138,056.15 is: 206,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,210.89 : 282,067.14 = 138,056.15 : x
  2. Step 2: Convert to fraction form
    188,210.89/282,067.14 = 138,056.15/x
  3. Step 3: Cross multiply
    188,210.89x = 282,067.14 × 138,056.15
  4. Step 4: Simplify right side
    188,210.89x = 38,941,103,389.91
  5. Step 5: Solve for x
    x = 38,941,103,389.91/188,210.89
  6. Step 6: Final answer
    x = 206,901.44

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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.