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Finding the Fourth Proportional to 204,578.10, 306,579.15 and 162,530.10

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Solution

The fourth proportional to 204,578.10, 306,579.15 and 162,530.10 is: 243,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,578.10 : 306,579.15 = 162,530.10 : x
  2. Step 2: Convert to fraction form
    204,578.10/306,579.15 = 162,530.10/x
  3. Step 3: Cross multiply
    204,578.10x = 306,579.15 × 162,530.10
  4. Step 4: Simplify right side
    204,578.10x = 49,828,339,907.42
  5. Step 5: Solve for x
    x = 49,828,339,907.42/204,578.10
  6. Step 6: Final answer
    x = 243,566.34

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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.