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Finding the Fourth Proportional to 132,954.95, 198,964.35 and 83,058.55

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Solution

The fourth proportional to 132,954.95, 198,964.35 and 83,058.55 is: 124,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,954.95 : 198,964.35 = 83,058.55 : x
  2. Step 2: Convert to fraction form
    132,954.95/198,964.35 = 83,058.55/x
  3. Step 3: Cross multiply
    132,954.95x = 198,964.35 × 83,058.55
  4. Step 4: Simplify right side
    132,954.95x = 16,525,689,915.28
  5. Step 5: Solve for x
    x = 16,525,689,915.28/132,954.95
  6. Step 6: Final answer
    x = 124,295.41

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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.