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Finding the Fourth Proportional to 342,542.22, 513,672.84 and 102,571.58

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Solution

The fourth proportional to 342,542.22, 513,672.84 and 102,571.58 is: 153,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,542.22 : 513,672.84 = 102,571.58 : x
  2. Step 2: Convert to fraction form
    342,542.22/513,672.84 = 102,571.58/x
  3. Step 3: Cross multiply
    342,542.22x = 513,672.84 × 102,571.58
  4. Step 4: Simplify right side
    342,542.22x = 52,688,236,086.07
  5. Step 5: Solve for x
    x = 52,688,236,086.07/342,542.22
  6. Step 6: Final answer
    x = 153,815.31

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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.