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Finding the Fourth Proportional to 142,422.83, 213,646.43 and 37,241.63

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Solution

The fourth proportional to 142,422.83, 213,646.43 and 37,241.63 is: 55,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422.83 : 213,646.43 = 37,241.63 : x
  2. Step 2: Convert to fraction form
    142,422.83/213,646.43 = 37,241.63/x
  3. Step 3: Cross multiply
    142,422.83x = 213,646.43 × 37,241.63
  4. Step 4: Simplify right side
    142,422.83x = 7,956,541,296.88
  5. Step 5: Solve for x
    x = 7,956,541,296.88/142,422.83
  6. Step 6: Final answer
    x = 55,865.63

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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.