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Finding the Fourth Proportional to 286,843.20, 430,207.20 and 137,083.20

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Solution

The fourth proportional to 286,843.20, 430,207.20 and 137,083.20 is: 205,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,843.20 : 430,207.20 = 137,083.20 : x
  2. Step 2: Convert to fraction form
    286,843.20/430,207.20 = 137,083.20/x
  3. Step 3: Cross multiply
    286,843.20x = 430,207.20 × 137,083.20
  4. Step 4: Simplify right side
    286,843.20x = 58,974,179,639.04
  5. Step 5: Solve for x
    x = 58,974,179,639.04/286,843.20
  6. Step 6: Final answer
    x = 205,597.27

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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.