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Finding the Fourth Proportional to 241,400.70, 361,984.14 and 141,593.58

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Solution

The fourth proportional to 241,400.70, 361,984.14 and 141,593.58 is: 212,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,400.70 : 361,984.14 = 141,593.58 : x
  2. Step 2: Convert to fraction form
    241,400.70/361,984.14 = 141,593.58/x
  3. Step 3: Cross multiply
    241,400.70x = 361,984.14 × 141,593.58
  4. Step 4: Simplify right side
    241,400.70x = 51,254,630,285.82
  5. Step 5: Solve for x
    x = 51,254,630,285.82/241,400.70
  6. Step 6: Final answer
    x = 212,321.80

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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.