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Finding the Fourth Proportional to 232,334.54, 347,621.42 and 137,615.54

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Solution

The fourth proportional to 232,334.54, 347,621.42 and 137,615.54 is: 205,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,334.54 : 347,621.42 = 137,615.54 : x
  2. Step 2: Convert to fraction form
    232,334.54/347,621.42 = 137,615.54/x
  3. Step 3: Cross multiply
    232,334.54x = 347,621.42 × 137,615.54
  4. Step 4: Simplify right side
    232,334.54x = 47,838,109,428.87
  5. Step 5: Solve for x
    x = 47,838,109,428.87/232,334.54
  6. Step 6: Final answer
    x = 205,901.84

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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.