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Finding the Fourth Proportional to 132,769.47, 199,154.01 and 61,653.22

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Solution

The fourth proportional to 132,769.47, 199,154.01 and 61,653.22 is: 92,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,769.47 : 199,154.01 = 61,653.22 : x
  2. Step 2: Convert to fraction form
    132,769.47/199,154.01 = 61,653.22/x
  3. Step 3: Cross multiply
    132,769.47x = 199,154.01 × 61,653.22
  4. Step 4: Simplify right side
    132,769.47x = 12,278,485,992.41
  5. Step 5: Solve for x
    x = 12,278,485,992.41/132,769.47
  6. Step 6: Final answer
    x = 92,479.74

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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.