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Finding the Fourth Proportional to 132,954.50, 199,319.90 and 61,841.02

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Solution

The fourth proportional to 132,954.50, 199,319.90 and 61,841.02 is: 92,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,954.50 : 199,319.90 = 61,841.02 : x
  2. Step 2: Convert to fraction form
    132,954.50/199,319.90 = 61,841.02/x
  3. Step 3: Cross multiply
    132,954.50x = 199,319.90 × 61,841.02
  4. Step 4: Simplify right side
    132,954.50x = 12,326,144,616.49
  5. Step 5: Solve for x
    x = 12,326,144,616.49/132,954.50
  6. Step 6: Final answer
    x = 92,709.50

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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.