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Finding the Fourth Proportional to 229,404.30, 343,778.40 and 159,201.60

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Solution

The fourth proportional to 229,404.30, 343,778.40 and 159,201.60 is: 238,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,404.30 : 343,778.40 = 159,201.60 : x
  2. Step 2: Convert to fraction form
    229,404.30/343,778.40 = 159,201.60/x
  3. Step 3: Cross multiply
    229,404.30x = 343,778.40 × 159,201.60
  4. Step 4: Simplify right side
    229,404.30x = 54,730,071,325.44
  5. Step 5: Solve for x
    x = 54,730,071,325.44/229,404.30
  6. Step 6: Final answer
    x = 238,574.74

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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.