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Finding the Fourth Proportional to 204,643.10, 307,006.32 and 86,314.88

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Solution

The fourth proportional to 204,643.10, 307,006.32 and 86,314.88 is: 129,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,643.10 : 307,006.32 = 86,314.88 : x
  2. Step 2: Convert to fraction form
    204,643.10/307,006.32 = 86,314.88/x
  3. Step 3: Cross multiply
    204,643.10x = 307,006.32 × 86,314.88
  4. Step 4: Simplify right side
    204,643.10x = 26,499,213,670.04
  5. Step 5: Solve for x
    x = 26,499,213,670.04/204,643.10
  6. Step 6: Final answer
    x = 129,489.90

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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.