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Finding the Fourth Proportional to 132,950.64, 199,367.52 and 49,786.32

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Solution

The fourth proportional to 132,950.64, 199,367.52 and 49,786.32 is: 74,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,950.64 : 199,367.52 = 49,786.32 : x
  2. Step 2: Convert to fraction form
    132,950.64/199,367.52 = 49,786.32/x
  3. Step 3: Cross multiply
    132,950.64x = 199,367.52 × 49,786.32
  4. Step 4: Simplify right side
    132,950.64x = 9,925,775,148.33
  5. Step 5: Solve for x
    x = 9,925,775,148.33/132,950.64
  6. Step 6: Final answer
    x = 74,657.60

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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.