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Finding the Fourth Proportional to 132,197.67, 198,296.51 and 47,969.01

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Solution

The fourth proportional to 132,197.67, 198,296.51 and 47,969.01 is: 71,953.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,197.67 : 198,296.51 = 47,969.01 : x
  2. Step 2: Convert to fraction form
    132,197.67/198,296.51 = 47,969.01/x
  3. Step 3: Cross multiply
    132,197.67x = 198,296.51 × 47,969.01
  4. Step 4: Simplify right side
    132,197.67x = 9,512,087,031.31
  5. Step 5: Solve for x
    x = 9,512,087,031.31/132,197.67
  6. Step 6: Final answer
    x = 71,953.52

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1.5x scale

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.