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Finding the Fourth Proportional to 133,758.88, 200,496.84 and 49,464.88

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Solution

The fourth proportional to 133,758.88, 200,496.84 and 49,464.88 is: 74,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758.88 : 200,496.84 = 49,464.88 : x
  2. Step 2: Convert to fraction form
    133,758.88/200,496.84 = 49,464.88/x
  3. Step 3: Cross multiply
    133,758.88x = 200,496.84 × 49,464.88
  4. Step 4: Simplify right side
    133,758.88x = 9,917,551,444.24
  5. Step 5: Solve for x
    x = 9,917,551,444.24/133,758.88
  6. Step 6: Final answer
    x = 74,145.00

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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.