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Finding the Fourth Proportional to 140,704.36, 210,721.50 and 81,415.08

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Solution

The fourth proportional to 140,704.36, 210,721.50 and 81,415.08 is: 121,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,704.36 : 210,721.50 = 81,415.08 : x
  2. Step 2: Convert to fraction form
    140,704.36/210,721.50 = 81,415.08/x
  3. Step 3: Cross multiply
    140,704.36x = 210,721.50 × 81,415.08
  4. Step 4: Simplify right side
    140,704.36x = 17,155,907,780.22
  5. Step 5: Solve for x
    x = 17,155,907,780.22/140,704.36
  6. Step 6: Final answer
    x = 121,928.76

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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.