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Finding the Fourth Proportional to 168,564.86, 232,402.46 and 120,221.92

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Solution

The fourth proportional to 168,564.86, 232,402.46 and 120,221.92 is: 165,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,564.86 : 232,402.46 = 120,221.92 : x
  2. Step 2: Convert to fraction form
    168,564.86/232,402.46 = 120,221.92/x
  3. Step 3: Cross multiply
    168,564.86x = 232,402.46 × 120,221.92
  4. Step 4: Simplify right side
    168,564.86x = 27,939,869,953.92
  5. Step 5: Solve for x
    x = 27,939,869,953.92/168,564.86
  6. Step 6: Final answer
    x = 165,751.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.