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Finding the Fourth Proportional to 140,192.16, 193,448.16 and 79,770.48

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Solution

The fourth proportional to 140,192.16, 193,448.16 and 79,770.48 is: 110,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,192.16 : 193,448.16 = 79,770.48 : x
  2. Step 2: Convert to fraction form
    140,192.16/193,448.16 = 79,770.48/x
  3. Step 3: Cross multiply
    140,192.16x = 193,448.16 × 79,770.48
  4. Step 4: Simplify right side
    140,192.16x = 15,431,452,578.32
  5. Step 5: Solve for x
    x = 15,431,452,578.32/140,192.16
  6. Step 6: Final answer
    x = 110,073.58

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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.