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Finding the Fourth Proportional to 229,763.40, 344,904.30 and 136,321.80

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Solution

The fourth proportional to 229,763.40, 344,904.30 and 136,321.80 is: 204,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,763.40 : 344,904.30 = 136,321.80 : x
  2. Step 2: Convert to fraction form
    229,763.40/344,904.30 = 136,321.80/x
  3. Step 3: Cross multiply
    229,763.40x = 344,904.30 × 136,321.80
  4. Step 4: Simplify right side
    229,763.40x = 47,017,975,003.74
  5. Step 5: Solve for x
    x = 47,017,975,003.74/229,763.40
  6. Step 6: Final answer
    x = 204,636.49

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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.