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Finding the Fourth Proportional to 133,876.60, 200,752.59 and 49,633.36

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Solution

The fourth proportional to 133,876.60, 200,752.59 and 49,633.36 is: 74,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,876.60 : 200,752.59 = 49,633.36 : x
  2. Step 2: Convert to fraction form
    133,876.60/200,752.59 = 49,633.36/x
  3. Step 3: Cross multiply
    133,876.60x = 200,752.59 × 49,633.36
  4. Step 4: Simplify right side
    133,876.60x = 9,964,025,254.65
  5. Step 5: Solve for x
    x = 9,964,025,254.65/133,876.60
  6. Step 6: Final answer
    x = 74,426.94

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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.