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Finding the Fourth Proportional to 100,198, 150,320.04 and 34,534

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Solution

The fourth proportional to 100,198, 150,320.04 and 34,534 is: 51,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198 : 150,320.04 = 34,534 : x
  2. Step 2: Convert to fraction form
    100,198/150,320.04 = 34,534/x
  3. Step 3: Cross multiply
    100,198x = 150,320.04 × 34,534
  4. Step 4: Simplify right side
    100,198x = 5,191,152,261.36
  5. Step 5: Solve for x
    x = 5,191,152,261.36/100,198
  6. Step 6: Final answer
    x = 51,808.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.