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Finding the Fourth Proportional to 232,333.54, 347,619.93 and 137,614.54

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Solution

The fourth proportional to 232,333.54, 347,619.93 and 137,614.54 is: 205,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,333.54 : 347,619.93 = 137,614.54 : x
  2. Step 2: Convert to fraction form
    232,333.54/347,619.93 = 137,614.54/x
  3. Step 3: Cross multiply
    232,333.54x = 347,619.93 × 137,614.54
  4. Step 4: Simplify right side
    232,333.54x = 47,837,556,761.78
  5. Step 5: Solve for x
    x = 47,837,556,761.78/232,333.54
  6. Step 6: Final answer
    x = 205,900.35

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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.