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Finding the Fourth Proportional to 110,742, 166,111.44 and 51,544.56

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Solution

The fourth proportional to 110,742, 166,111.44 and 51,544.56 is: 77,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,742 : 166,111.44 = 51,544.56 : x
  2. Step 2: Convert to fraction form
    110,742/166,111.44 = 51,544.56/x
  3. Step 3: Cross multiply
    110,742x = 166,111.44 × 51,544.56
  4. Step 4: Simplify right side
    110,742x = 8,562,141,085.77
  5. Step 5: Solve for x
    x = 8,562,141,085.77/110,742
  6. Step 6: Final answer
    x = 77,316.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.