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Finding the Fourth Proportional to 120,409.98, 166,192.47 and 70,138.14

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Solution

The fourth proportional to 120,409.98, 166,192.47 and 70,138.14 is: 96,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,409.98 : 166,192.47 = 70,138.14 : x
  2. Step 2: Convert to fraction form
    120,409.98/166,192.47 = 70,138.14/x
  3. Step 3: Cross multiply
    120,409.98x = 166,192.47 × 70,138.14
  4. Step 4: Simplify right side
    120,409.98x = 11,656,430,727.81
  5. Step 5: Solve for x
    x = 11,656,430,727.81/120,409.98
  6. Step 6: Final answer
    x = 96,806.18

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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.