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Finding the Fourth Proportional to 342,024.25, 513,043.67 and 117,383.71

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Solution

The fourth proportional to 342,024.25, 513,043.67 and 117,383.71 is: 176,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.25 : 513,043.67 = 117,383.71 : x
  2. Step 2: Convert to fraction form
    342,024.25/513,043.67 = 117,383.71/x
  3. Step 3: Cross multiply
    342,024.25x = 513,043.67 × 117,383.71
  4. Step 4: Simplify right side
    342,024.25x = 60,222,969,376.62
  5. Step 5: Solve for x
    x = 60,222,969,376.62/342,024.25
  6. Step 6: Final answer
    x = 176,078.07

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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.