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Finding the Fourth Proportional to 101,546.14, 140,129.10 and 56,220.94

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Solution

The fourth proportional to 101,546.14, 140,129.10 and 56,220.94 is: 77,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,546.14 : 140,129.10 = 56,220.94 : x
  2. Step 2: Convert to fraction form
    101,546.14/140,129.10 = 56,220.94/x
  3. Step 3: Cross multiply
    101,546.14x = 140,129.10 × 56,220.94
  4. Step 4: Simplify right side
    101,546.14x = 7,878,189,723.35
  5. Step 5: Solve for x
    x = 7,878,189,723.35/101,546.14
  6. Step 6: Final answer
    x = 77,582.37

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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.