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Finding the Fourth Proportional to 133,882.80, 200,830.86 and 43,917.51

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Solution

The fourth proportional to 133,882.80, 200,830.86 and 43,917.51 is: 65,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,882.80 : 200,830.86 = 43,917.51 : x
  2. Step 2: Convert to fraction form
    133,882.80/200,830.86 = 43,917.51/x
  3. Step 3: Cross multiply
    133,882.80x = 200,830.86 × 43,917.51
  4. Step 4: Simplify right side
    133,882.80x = 8,819,991,302.36
  5. Step 5: Solve for x
    x = 8,819,991,302.36/133,882.80
  6. Step 6: Final answer
    x = 65,878.45

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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.