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Finding the Fourth Proportional to 133,195.82, 199,867.54 and 54,303.95

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Solution

The fourth proportional to 133,195.82, 199,867.54 and 54,303.95 is: 81,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,195.82 : 199,867.54 = 54,303.95 : x
  2. Step 2: Convert to fraction form
    133,195.82/199,867.54 = 54,303.95/x
  3. Step 3: Cross multiply
    133,195.82x = 199,867.54 × 54,303.95
  4. Step 4: Simplify right side
    133,195.82x = 10,853,595,763.69
  5. Step 5: Solve for x
    x = 10,853,595,763.69/133,195.82
  6. Step 6: Final answer
    x = 81,486.01

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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.