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Finding the Fourth Proportional to 223,163.52, 307,830.42 and 132,459.72

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Solution

The fourth proportional to 223,163.52, 307,830.42 and 132,459.72 is: 182,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,163.52 : 307,830.42 = 132,459.72 : x
  2. Step 2: Convert to fraction form
    223,163.52/307,830.42 = 132,459.72/x
  3. Step 3: Cross multiply
    223,163.52x = 307,830.42 × 132,459.72
  4. Step 4: Simplify right side
    223,163.52x = 40,775,131,240.68
  5. Step 5: Solve for x
    x = 40,775,131,240.68/223,163.52
  6. Step 6: Final answer
    x = 182,714.14

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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.