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Finding the Fourth Proportional to 100,434.44, 150,701.10 and 71,041.16

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Solution

The fourth proportional to 100,434.44, 150,701.10 and 71,041.16 is: 106,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,434.44 : 150,701.10 = 71,041.16 : x
  2. Step 2: Convert to fraction form
    100,434.44/150,701.10 = 71,041.16/x
  3. Step 3: Cross multiply
    100,434.44x = 150,701.10 × 71,041.16
  4. Step 4: Simplify right side
    100,434.44x = 10,705,980,957.28
  5. Step 5: Solve for x
    x = 10,705,980,957.28/100,434.44
  6. Step 6: Final answer
    x = 106,596.71

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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.