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Finding the Fourth Proportional to 204,663.29, 307,027.74 and 86,352.06

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Solution

The fourth proportional to 204,663.29, 307,027.74 and 86,352.06 is: 129,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,663.29 : 307,027.74 = 86,352.06 : x
  2. Step 2: Convert to fraction form
    204,663.29/307,027.74 = 86,352.06/x
  3. Step 3: Cross multiply
    204,663.29x = 307,027.74 × 86,352.06
  4. Step 4: Simplify right side
    204,663.29x = 26,512,477,826.14
  5. Step 5: Solve for x
    x = 26,512,477,826.14/204,663.29
  6. Step 6: Final answer
    x = 129,541.93

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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.