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Finding the Fourth Proportional to 101,647.34, 140,407.08 and 78,065.39

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Solution

The fourth proportional to 101,647.34, 140,407.08 and 78,065.39 is: 107,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,647.34 : 140,407.08 = 78,065.39 : x
  2. Step 2: Convert to fraction form
    101,647.34/140,407.08 = 78,065.39/x
  3. Step 3: Cross multiply
    101,647.34x = 140,407.08 × 78,065.39
  4. Step 4: Simplify right side
    101,647.34x = 10,960,933,458.96
  5. Step 5: Solve for x
    x = 10,960,933,458.96/101,647.34
  6. Step 6: Final answer
    x = 107,832.96

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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.