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Finding the Fourth Proportional to 133,904.19, 200,716.12 and 45,127.02

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Solution

The fourth proportional to 133,904.19, 200,716.12 and 45,127.02 is: 67,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904.19 : 200,716.12 = 45,127.02 : x
  2. Step 2: Convert to fraction form
    133,904.19/200,716.12 = 45,127.02/x
  3. Step 3: Cross multiply
    133,904.19x = 200,716.12 × 45,127.02
  4. Step 4: Simplify right side
    133,904.19x = 9,057,720,361.56
  5. Step 5: Solve for x
    x = 9,057,720,361.56/133,904.19
  6. Step 6: Final answer
    x = 67,643.29

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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.