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Finding the Fourth Proportional to 326,199.46, 450,157.71 and 181,005.82

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Solution

The fourth proportional to 326,199.46, 450,157.71 and 181,005.82 is: 249,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,199.46 : 450,157.71 = 181,005.82 : x
  2. Step 2: Convert to fraction form
    326,199.46/450,157.71 = 181,005.82/x
  3. Step 3: Cross multiply
    326,199.46x = 450,157.71 × 181,005.82
  4. Step 4: Simplify right side
    326,199.46x = 81,481,163,106.92
  5. Step 5: Solve for x
    x = 81,481,163,106.92/326,199.46
  6. Step 6: Final answer
    x = 249,789.38

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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.