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Finding the Fourth Proportional to 132,682.50, 199,023.75 and 34,186.50

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Solution

The fourth proportional to 132,682.50, 199,023.75 and 34,186.50 is: 51,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,682.50 : 199,023.75 = 34,186.50 : x
  2. Step 2: Convert to fraction form
    132,682.50/199,023.75 = 34,186.50/x
  3. Step 3: Cross multiply
    132,682.50x = 199,023.75 × 34,186.50
  4. Step 4: Simplify right side
    132,682.50x = 6,803,925,429.38
  5. Step 5: Solve for x
    x = 6,803,925,429.38/132,682.50
  6. Step 6: Final answer
    x = 51,279.75

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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.