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Finding the Fourth Proportional to 133,026.30, 199,270.65 and 82,952.70

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Solution

The fourth proportional to 133,026.30, 199,270.65 and 82,952.70 is: 124,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.30 : 199,270.65 = 82,952.70 : x
  2. Step 2: Convert to fraction form
    133,026.30/199,270.65 = 82,952.70/x
  3. Step 3: Cross multiply
    133,026.30x = 199,270.65 × 82,952.70
  4. Step 4: Simplify right side
    133,026.30x = 16,530,038,448.26
  5. Step 5: Solve for x
    x = 16,530,038,448.26/133,026.30
  6. Step 6: Final answer
    x = 124,261.43

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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.