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Finding the Fourth Proportional to 132,340.32, 198,393.76 and 49,176

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Solution

The fourth proportional to 132,340.32, 198,393.76 and 49,176 is: 73,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,340.32 : 198,393.76 = 49,176 : x
  2. Step 2: Convert to fraction form
    132,340.32/198,393.76 = 49,176/x
  3. Step 3: Cross multiply
    132,340.32x = 198,393.76 × 49,176
  4. Step 4: Simplify right side
    132,340.32x = 9,756,211,541.76
  5. Step 5: Solve for x
    x = 9,756,211,541.76/132,340.32
  6. Step 6: Final answer
    x = 73,720.63

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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.