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Finding the Fourth Proportional to 120,712.14, 166,544.23 and 69,718.14

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Solution

The fourth proportional to 120,712.14, 166,544.23 and 69,718.14 is: 96,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,712.14 : 166,544.23 = 69,718.14 : x
  2. Step 2: Convert to fraction form
    120,712.14/166,544.23 = 69,718.14/x
  3. Step 3: Cross multiply
    120,712.14x = 166,544.23 × 69,718.14
  4. Step 4: Simplify right side
    120,712.14x = 11,611,153,769.04
  5. Step 5: Solve for x
    x = 11,611,153,769.04/120,712.14
  6. Step 6: Final answer
    x = 96,188.78

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1.5x scale

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.