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Finding the Fourth Proportional to 132,906.22, 199,490.54 and 58,078.01

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Solution

The fourth proportional to 132,906.22, 199,490.54 and 58,078.01 is: 87,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,906.22 : 199,490.54 = 58,078.01 : x
  2. Step 2: Convert to fraction form
    132,906.22/199,490.54 = 58,078.01/x
  3. Step 3: Cross multiply
    132,906.22x = 199,490.54 × 58,078.01
  4. Step 4: Simplify right side
    132,906.22x = 11,586,013,577.03
  5. Step 5: Solve for x
    x = 11,586,013,577.03/132,906.22
  6. Step 6: Final answer
    x = 87,174.35

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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.