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Finding the Fourth Proportional to 133,027.84, 199,369.36 and 54,050.40

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Solution

The fourth proportional to 133,027.84, 199,369.36 and 54,050.40 is: 81,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027.84 : 199,369.36 = 54,050.40 : x
  2. Step 2: Convert to fraction form
    133,027.84/199,369.36 = 54,050.40/x
  3. Step 3: Cross multiply
    133,027.84x = 199,369.36 × 54,050.40
  4. Step 4: Simplify right side
    133,027.84x = 10,775,993,655.74
  5. Step 5: Solve for x
    x = 10,775,993,655.74/133,027.84
  6. Step 6: Final answer
    x = 81,005.55

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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.