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Finding the Fourth Proportional to 132,707, 199,060.50 and 34,211

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Solution

The fourth proportional to 132,707, 199,060.50 and 34,211 is: 51,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,707 : 199,060.50 = 34,211 : x
  2. Step 2: Convert to fraction form
    132,707/199,060.50 = 34,211/x
  3. Step 3: Cross multiply
    132,707x = 199,060.50 × 34,211
  4. Step 4: Simplify right side
    132,707x = 6,810,058,765.50
  5. Step 5: Solve for x
    x = 6,810,058,765.50/132,707
  6. Step 6: Final answer
    x = 51,316.50

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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.