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Finding the Fourth Proportional to 223,915, 309,012.68 and 132,037.96

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Solution

The fourth proportional to 223,915, 309,012.68 and 132,037.96 is: 182,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,915 : 309,012.68 = 132,037.96 : x
  2. Step 2: Convert to fraction form
    223,915/309,012.68 = 132,037.96/x
  3. Step 3: Cross multiply
    223,915x = 309,012.68 × 132,037.96
  4. Step 4: Simplify right side
    223,915x = 40,801,403,881.33
  5. Step 5: Solve for x
    x = 40,801,403,881.33/223,915
  6. Step 6: Final answer
    x = 182,218.27

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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.