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Finding the Fourth Proportional to 229,204.80, 342,835.20 and 205,682.40

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Solution

The fourth proportional to 229,204.80, 342,835.20 and 205,682.40 is: 307,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,204.80 : 342,835.20 = 205,682.40 : x
  2. Step 2: Convert to fraction form
    229,204.80/342,835.20 = 205,682.40/x
  3. Step 3: Cross multiply
    229,204.80x = 342,835.20 × 205,682.40
  4. Step 4: Simplify right side
    229,204.80x = 70,515,166,740.48
  5. Step 5: Solve for x
    x = 70,515,166,740.48/229,204.80
  6. Step 6: Final answer
    x = 307,651.35

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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.