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Finding the Fourth Proportional to 164,672.16, 227,067.12 and 107,205.44

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Solution

The fourth proportional to 164,672.16, 227,067.12 and 107,205.44 is: 147,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,672.16 : 227,067.12 = 107,205.44 : x
  2. Step 2: Convert to fraction form
    164,672.16/227,067.12 = 107,205.44/x
  3. Step 3: Cross multiply
    164,672.16x = 227,067.12 × 107,205.44
  4. Step 4: Simplify right side
    164,672.16x = 24,342,830,509.13
  5. Step 5: Solve for x
    x = 24,342,830,509.13/164,672.16
  6. Step 6: Final answer
    x = 147,826.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.