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Finding the Fourth Proportional to 342,102.90, 513,237.80 and 241,097.82

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Solution

The fourth proportional to 342,102.90, 513,237.80 and 241,097.82 is: 361,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,102.90 : 513,237.80 = 241,097.82 : x
  2. Step 2: Convert to fraction form
    342,102.90/513,237.80 = 241,097.82/x
  3. Step 3: Cross multiply
    342,102.90x = 513,237.80 × 241,097.82
  4. Step 4: Simplify right side
    342,102.90x = 123,740,514,721.60
  5. Step 5: Solve for x
    x = 123,740,514,721.60/342,102.90
  6. Step 6: Final answer
    x = 361,705.54

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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.