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Finding the Fourth Proportional to 261,855.08, 361,343.94 and 154,429.64

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Solution

The fourth proportional to 261,855.08, 361,343.94 and 154,429.64 is: 213,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,855.08 : 361,343.94 = 154,429.64 : x
  2. Step 2: Convert to fraction form
    261,855.08/361,343.94 = 154,429.64/x
  3. Step 3: Cross multiply
    261,855.08x = 361,343.94 × 154,429.64
  4. Step 4: Simplify right side
    261,855.08x = 55,802,214,570.38
  5. Step 5: Solve for x
    x = 55,802,214,570.38/261,855.08
  6. Step 6: Final answer
    x = 213,103.43

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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.