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Finding the Fourth Proportional to 132,198.99, 198,256.41 and 43,432.00

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Solution

The fourth proportional to 132,198.99, 198,256.41 and 43,432.00 is: 65,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,198.99 : 198,256.41 = 43,432.00 : x
  2. Step 2: Convert to fraction form
    132,198.99/198,256.41 = 43,432.00/x
  3. Step 3: Cross multiply
    132,198.99x = 198,256.41 × 43,432.00
  4. Step 4: Simplify right side
    132,198.99x = 8,610,671,903.48
  5. Step 5: Solve for x
    x = 8,610,671,903.48/132,198.99
  6. Step 6: Final answer
    x = 65,134.17

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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.