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Finding the Fourth Proportional to 132,838.34, 199,260.24 and 53,898.57

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Solution

The fourth proportional to 132,838.34, 199,260.24 and 53,898.57 is: 80,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,838.34 : 199,260.24 = 53,898.57 : x
  2. Step 2: Convert to fraction form
    132,838.34/199,260.24 = 53,898.57/x
  3. Step 3: Cross multiply
    132,838.34x = 199,260.24 × 53,898.57
  4. Step 4: Simplify right side
    132,838.34x = 10,739,841,791.74
  5. Step 5: Solve for x
    x = 10,739,841,791.74/132,838.34
  6. Step 6: Final answer
    x = 80,848.96

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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.