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Finding the Fourth Proportional to 107,967.82, 148,996.14 and 59,571.42

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Solution

The fourth proportional to 107,967.82, 148,996.14 and 59,571.42 is: 82,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.82 : 148,996.14 = 59,571.42 : x
  2. Step 2: Convert to fraction form
    107,967.82/148,996.14 = 59,571.42/x
  3. Step 3: Cross multiply
    107,967.82x = 148,996.14 × 59,571.42
  4. Step 4: Simplify right side
    107,967.82x = 8,875,911,634.32
  5. Step 5: Solve for x
    x = 8,875,911,634.32/107,967.82
  6. Step 6: Final answer
    x = 82,208.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.