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Finding the Fourth Proportional to 232,654.80, 348,982.20 and 114,556.80

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Solution

The fourth proportional to 232,654.80, 348,982.20 and 114,556.80 is: 171,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,654.80 : 348,982.20 = 114,556.80 : x
  2. Step 2: Convert to fraction form
    232,654.80/348,982.20 = 114,556.80/x
  3. Step 3: Cross multiply
    232,654.80x = 348,982.20 × 114,556.80
  4. Step 4: Simplify right side
    232,654.80x = 39,978,284,088.96
  5. Step 5: Solve for x
    x = 39,978,284,088.96/232,654.80
  6. Step 6: Final answer
    x = 171,835.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.