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Finding the Fourth Proportional to 241,825.91, 362,738.43 and 64,332.92

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Solution

The fourth proportional to 241,825.91, 362,738.43 and 64,332.92 is: 96,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,825.91 : 362,738.43 = 64,332.92 : x
  2. Step 2: Convert to fraction form
    241,825.91/362,738.43 = 64,332.92/x
  3. Step 3: Cross multiply
    241,825.91x = 362,738.43 × 64,332.92
  4. Step 4: Simplify right side
    241,825.91x = 23,336,022,398.12
  5. Step 5: Solve for x
    x = 23,336,022,398.12/241,825.91
  6. Step 6: Final answer
    x = 96,499.26

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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.