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Finding the Fourth Proportional to 264,251.47, 364,664.14 and 143,395.42

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Solution

The fourth proportional to 264,251.47, 364,664.14 and 143,395.42 is: 197,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,251.47 : 364,664.14 = 143,395.42 : x
  2. Step 2: Convert to fraction form
    264,251.47/364,664.14 = 143,395.42/x
  3. Step 3: Cross multiply
    264,251.47x = 364,664.14 × 143,395.42
  4. Step 4: Simplify right side
    264,251.47x = 52,291,167,514.24
  5. Step 5: Solve for x
    x = 52,291,167,514.24/264,251.47
  6. Step 6: Final answer
    x = 197,884.11

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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.