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Finding the Fourth Proportional to 342,147.14, 513,093.08 and 117,443.82

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Solution

The fourth proportional to 342,147.14, 513,093.08 and 117,443.82 is: 176,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147.14 : 513,093.08 = 117,443.82 : x
  2. Step 2: Convert to fraction form
    342,147.14/513,093.08 = 117,443.82/x
  3. Step 3: Cross multiply
    342,147.14x = 513,093.08 × 117,443.82
  4. Step 4: Simplify right side
    342,147.14x = 60,259,613,548.47
  5. Step 5: Solve for x
    x = 60,259,613,548.47/342,147.14
  6. Step 6: Final answer
    x = 176,121.93

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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.