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Finding the Fourth Proportional to 257,297.01, 386,051.22 and 107,568.92

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Solution

The fourth proportional to 257,297.01, 386,051.22 and 107,568.92 is: 161,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,297.01 : 386,051.22 = 107,568.92 : x
  2. Step 2: Convert to fraction form
    257,297.01/386,051.22 = 107,568.92/x
  3. Step 3: Cross multiply
    257,297.01x = 386,051.22 × 107,568.92
  4. Step 4: Simplify right side
    257,297.01x = 41,527,110,869.83
  5. Step 5: Solve for x
    x = 41,527,110,869.83/257,297.01
  6. Step 6: Final answer
    x = 161,397.56

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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.