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Finding the Fourth Proportional to 132,588.42, 198,620.18 and 115,967.22

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Solution

The fourth proportional to 132,588.42, 198,620.18 and 115,967.22 is: 173,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,588.42 : 198,620.18 = 115,967.22 : x
  2. Step 2: Convert to fraction form
    132,588.42/198,620.18 = 115,967.22/x
  3. Step 3: Cross multiply
    132,588.42x = 198,620.18 × 115,967.22
  4. Step 4: Simplify right side
    132,588.42x = 23,033,430,110.50
  5. Step 5: Solve for x
    x = 23,033,430,110.50/132,588.42
  6. Step 6: Final answer
    x = 173,721.28

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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.