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Finding the Fourth Proportional to 229,965.60, 344,292.30 and 203,721.60

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Solution

The fourth proportional to 229,965.60, 344,292.30 and 203,721.60 is: 305,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,965.60 : 344,292.30 = 203,721.60 : x
  2. Step 2: Convert to fraction form
    229,965.60/344,292.30 = 203,721.60/x
  3. Step 3: Cross multiply
    229,965.60x = 344,292.30 × 203,721.60
  4. Step 4: Simplify right side
    229,965.60x = 70,139,778,223.68
  5. Step 5: Solve for x
    x = 70,139,778,223.68/229,965.60
  6. Step 6: Final answer
    x = 305,001.18

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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.