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Finding the Fourth Proportional to 132,122, 198,203.64 and 43,355.32

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Solution

The fourth proportional to 132,122, 198,203.64 and 43,355.32 is: 65,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,122 : 198,203.64 = 43,355.32 : x
  2. Step 2: Convert to fraction form
    132,122/198,203.64 = 43,355.32/x
  3. Step 3: Cross multiply
    132,122x = 198,203.64 × 43,355.32
  4. Step 4: Simplify right side
    132,122x = 8,593,182,237.36
  5. Step 5: Solve for x
    x = 8,593,182,237.36/132,122
  6. Step 6: Final answer
    x = 65,039.75

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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.