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Finding the Fourth Proportional to 229,253.60, 343,224.30 and 203,009.60

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Solution

The fourth proportional to 229,253.60, 343,224.30 and 203,009.60 is: 303,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,253.60 : 343,224.30 = 203,009.60 : x
  2. Step 2: Convert to fraction form
    229,253.60/343,224.30 = 203,009.60/x
  3. Step 3: Cross multiply
    229,253.60x = 343,224.30 × 203,009.60
  4. Step 4: Simplify right side
    229,253.60x = 69,677,827,853.28
  5. Step 5: Solve for x
    x = 69,677,827,853.28/229,253.60
  6. Step 6: Final answer
    x = 303,933.41

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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.