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Finding the Fourth Proportional to 132,641.76, 199,044.67 and 53,756.67

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Solution

The fourth proportional to 132,641.76, 199,044.67 and 53,756.67 is: 80,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,641.76 : 199,044.67 = 53,756.67 : x
  2. Step 2: Convert to fraction form
    132,641.76/199,044.67 = 53,756.67/x
  3. Step 3: Cross multiply
    132,641.76x = 199,044.67 × 53,756.67
  4. Step 4: Simplify right side
    132,641.76x = 10,699,978,640.45
  5. Step 5: Solve for x
    x = 10,699,978,640.45/132,641.76
  6. Step 6: Final answer
    x = 80,668.25

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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.