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Finding the Fourth Proportional to 102,200.82, 153,365.46 and 39,027.48

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Solution

The fourth proportional to 102,200.82, 153,365.46 and 39,027.48 is: 58,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200.82 : 153,365.46 = 39,027.48 : x
  2. Step 2: Convert to fraction form
    102,200.82/153,365.46 = 39,027.48/x
  3. Step 3: Cross multiply
    102,200.82x = 153,365.46 × 39,027.48
  4. Step 4: Simplify right side
    102,200.82x = 5,985,467,422.84
  5. Step 5: Solve for x
    x = 5,985,467,422.84/102,200.82
  6. Step 6: Final answer
    x = 58,565.75

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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.