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Finding the Fourth Proportional to 133,274.80, 199,304.92 and 99,563.92

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Solution

The fourth proportional to 133,274.80, 199,304.92 and 99,563.92 is: 148,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,274.80 : 199,304.92 = 99,563.92 : x
  2. Step 2: Convert to fraction form
    133,274.80/199,304.92 = 99,563.92/x
  3. Step 3: Cross multiply
    133,274.80x = 199,304.92 × 99,563.92
  4. Step 4: Simplify right side
    133,274.80x = 19,843,579,110.49
  5. Step 5: Solve for x
    x = 19,843,579,110.49/133,274.80
  6. Step 6: Final answer
    x = 148,892.21

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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.