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Finding the Fourth Proportional to 142,422.20, 213,645.50 and 37,241

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Solution

The fourth proportional to 142,422.20, 213,645.50 and 37,241 is: 55,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422.20 : 213,645.50 = 37,241 : x
  2. Step 2: Convert to fraction form
    142,422.20/213,645.50 = 37,241/x
  3. Step 3: Cross multiply
    142,422.20x = 213,645.50 × 37,241
  4. Step 4: Simplify right side
    142,422.20x = 7,956,372,065.50
  5. Step 5: Solve for x
    x = 7,956,372,065.50/142,422.20
  6. Step 6: Final answer
    x = 55,864.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.