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Finding the Fourth Proportional to 132,637.74, 198,981.22 and 43,892

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Solution

The fourth proportional to 132,637.74, 198,981.22 and 43,892 is: 65,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,637.74 : 198,981.22 = 43,892 : x
  2. Step 2: Convert to fraction form
    132,637.74/198,981.22 = 43,892/x
  3. Step 3: Cross multiply
    132,637.74x = 198,981.22 × 43,892
  4. Step 4: Simplify right side
    132,637.74x = 8,733,683,708.24
  5. Step 5: Solve for x
    x = 8,733,683,708.24/132,637.74
  6. Step 6: Final answer
    x = 65,846.14

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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.