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Finding the Fourth Proportional to 229,762.90, 344,903.55 and 136,321.30

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Solution

The fourth proportional to 229,762.90, 344,903.55 and 136,321.30 is: 204,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,762.90 : 344,903.55 = 136,321.30 : x
  2. Step 2: Convert to fraction form
    229,762.90/344,903.55 = 136,321.30/x
  3. Step 3: Cross multiply
    229,762.90x = 344,903.55 × 136,321.30
  4. Step 4: Simplify right side
    229,762.90x = 47,017,700,310.62
  5. Step 5: Solve for x
    x = 47,017,700,310.62/229,762.90
  6. Step 6: Final answer
    x = 204,635.74

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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.