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Finding the Fourth Proportional to 240,977.92, 361,383.50 and 98,782.82

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Solution

The fourth proportional to 240,977.92, 361,383.50 and 98,782.82 is: 148,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,977.92 : 361,383.50 = 98,782.82 : x
  2. Step 2: Convert to fraction form
    240,977.92/361,383.50 = 98,782.82/x
  3. Step 3: Cross multiply
    240,977.92x = 361,383.50 × 98,782.82
  4. Step 4: Simplify right side
    240,977.92x = 35,698,481,231.47
  5. Step 5: Solve for x
    x = 35,698,481,231.47/240,977.92
  6. Step 6: Final answer
    x = 148,140.05

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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.