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Finding the Fourth Proportional to 133,950.12, 200,918.71 and 49,726.72

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Solution

The fourth proportional to 133,950.12, 200,918.71 and 49,726.72 is: 74,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,950.12 : 200,918.71 = 49,726.72 : x
  2. Step 2: Convert to fraction form
    133,950.12/200,918.71 = 49,726.72/x
  3. Step 3: Cross multiply
    133,950.12x = 200,918.71 × 49,726.72
  4. Step 4: Simplify right side
    133,950.12x = 9,991,028,434.93
  5. Step 5: Solve for x
    x = 9,991,028,434.93/133,950.12
  6. Step 6: Final answer
    x = 74,587.68

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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.