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Finding the Fourth Proportional to 101,732.22, 140,392.14 and 56,412.11

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Solution

The fourth proportional to 101,732.22, 140,392.14 and 56,412.11 is: 77,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,732.22 : 140,392.14 = 56,412.11 : x
  2. Step 2: Convert to fraction form
    101,732.22/140,392.14 = 56,412.11/x
  3. Step 3: Cross multiply
    101,732.22x = 140,392.14 × 56,412.11
  4. Step 4: Simplify right side
    101,732.22x = 7,919,816,984.25
  5. Step 5: Solve for x
    x = 7,919,816,984.25/101,732.22
  6. Step 6: Final answer
    x = 77,849.64

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