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Finding the Fourth Proportional to 132,905.22, 199,489.04 and 58,077.01

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Solution

The fourth proportional to 132,905.22, 199,489.04 and 58,077.01 is: 87,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,905.22 : 199,489.04 = 58,077.01 : x
  2. Step 2: Convert to fraction form
    132,905.22/199,489.04 = 58,077.01/x
  3. Step 3: Cross multiply
    132,905.22x = 199,489.04 × 58,077.01
  4. Step 4: Simplify right side
    132,905.22x = 11,585,726,970.97
  5. Step 5: Solve for x
    x = 11,585,726,970.97/132,905.22
  6. Step 6: Final answer
    x = 87,172.85

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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.