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Finding the Fourth Proportional to 132,017.84, 198,078.60 and 58,094

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Solution

The fourth proportional to 132,017.84, 198,078.60 and 58,094 is: 87,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,017.84 : 198,078.60 = 58,094 : x
  2. Step 2: Convert to fraction form
    132,017.84/198,078.60 = 58,094/x
  3. Step 3: Cross multiply
    132,017.84x = 198,078.60 × 58,094
  4. Step 4: Simplify right side
    132,017.84x = 11,507,178,188.40
  5. Step 5: Solve for x
    x = 11,507,178,188.40/132,017.84
  6. Step 6: Final answer
    x = 87,163.81

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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.