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Finding the Fourth Proportional to 120,994.58, 166,947.93 and 70,683.86

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Solution

The fourth proportional to 120,994.58, 166,947.93 and 70,683.86 is: 97,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,994.58 : 166,947.93 = 70,683.86 : x
  2. Step 2: Convert to fraction form
    120,994.58/166,947.93 = 70,683.86/x
  3. Step 3: Cross multiply
    120,994.58x = 166,947.93 × 70,683.86
  4. Step 4: Simplify right side
    120,994.58x = 11,800,524,111.41
  5. Step 5: Solve for x
    x = 11,800,524,111.41/120,994.58
  6. Step 6: Final answer
    x = 97,529.36

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Why These Related Problems?

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