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Finding the Fourth Proportional to 286,857.20, 430,228.20 and 137,097.20

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Solution

The fourth proportional to 286,857.20, 430,228.20 and 137,097.20 is: 205,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,857.20 : 430,228.20 = 137,097.20 : x
  2. Step 2: Convert to fraction form
    286,857.20/430,228.20 = 137,097.20/x
  3. Step 3: Cross multiply
    286,857.20x = 430,228.20 × 137,097.20
  4. Step 4: Simplify right side
    286,857.20x = 58,983,081,581.04
  5. Step 5: Solve for x
    x = 58,983,081,581.04/286,857.20
  6. Step 6: Final answer
    x = 205,618.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.