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Finding the Fourth Proportional to 101,947, 140,697.89 and 61,682.96

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Solution

The fourth proportional to 101,947, 140,697.89 and 61,682.96 is: 85,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,947 : 140,697.89 = 61,682.96 : x
  2. Step 2: Convert to fraction form
    101,947/140,697.89 = 61,682.96/x
  3. Step 3: Cross multiply
    101,947x = 140,697.89 × 61,682.96
  4. Step 4: Simplify right side
    101,947x = 8,678,662,320.95
  5. Step 5: Solve for x
    x = 8,678,662,320.95/101,947
  6. Step 6: Final answer
    x = 85,129.16

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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.