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Finding the Fourth Proportional to 339,202.82, 508,878.03 and 102,539.34

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Solution

The fourth proportional to 339,202.82, 508,878.03 and 102,539.34 is: 153,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,202.82 : 508,878.03 = 102,539.34 : x
  2. Step 2: Convert to fraction form
    339,202.82/508,878.03 = 102,539.34/x
  3. Step 3: Cross multiply
    339,202.82x = 508,878.03 × 102,539.34
  4. Step 4: Simplify right side
    339,202.82x = 52,180,019,629.52
  5. Step 5: Solve for x
    x = 52,180,019,629.52/339,202.82
  6. Step 6: Final answer
    x = 153,831.33

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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.