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Finding the Fourth Proportional to 229,402.80, 344,104.20 and 195,577.20

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Solution

The fourth proportional to 229,402.80, 344,104.20 and 195,577.20 is: 293,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,402.80 : 344,104.20 = 195,577.20 : x
  2. Step 2: Convert to fraction form
    229,402.80/344,104.20 = 195,577.20/x
  3. Step 3: Cross multiply
    229,402.80x = 344,104.20 × 195,577.20
  4. Step 4: Simplify right side
    229,402.80x = 67,298,935,944.24
  5. Step 5: Solve for x
    x = 67,298,935,944.24/229,402.80
  6. Step 6: Final answer
    x = 293,365.80

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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.