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Finding the Fourth Proportional to 132,434, 198,775.84 and 48,275.50

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Solution

The fourth proportional to 132,434, 198,775.84 and 48,275.50 is: 72,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,434 : 198,775.84 = 48,275.50 : x
  2. Step 2: Convert to fraction form
    132,434/198,775.84 = 48,275.50/x
  3. Step 3: Cross multiply
    132,434x = 198,775.84 × 48,275.50
  4. Step 4: Simplify right side
    132,434x = 9,596,003,063.92
  5. Step 5: Solve for x
    x = 9,596,003,063.92/132,434
  6. Step 6: Final answer
    x = 72,458.76

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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.