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Finding the Fourth Proportional to 181,556.80, 272,335.20 and 146,564.80

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Solution

The fourth proportional to 181,556.80, 272,335.20 and 146,564.80 is: 219,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,556.80 : 272,335.20 = 146,564.80 : x
  2. Step 2: Convert to fraction form
    181,556.80/272,335.20 = 146,564.80/x
  3. Step 3: Cross multiply
    181,556.80x = 272,335.20 × 146,564.80
  4. Step 4: Simplify right side
    181,556.80x = 39,914,754,120.96
  5. Step 5: Solve for x
    x = 39,914,754,120.96/181,556.80
  6. Step 6: Final answer
    x = 219,847.20

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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.