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Finding the Fourth Proportional to 142,096.97, 213,067.08 and 57,835.50

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Solution

The fourth proportional to 142,096.97, 213,067.08 and 57,835.50 is: 86,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.97 : 213,067.08 = 57,835.50 : x
  2. Step 2: Convert to fraction form
    142,096.97/213,067.08 = 57,835.50/x
  3. Step 3: Cross multiply
    142,096.97x = 213,067.08 × 57,835.50
  4. Step 4: Simplify right side
    142,096.97x = 12,322,841,105.34
  5. Step 5: Solve for x
    x = 12,322,841,105.34/142,096.97
  6. Step 6: Final answer
    x = 86,721.35

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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.