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Finding the Fourth Proportional to 197,764.84, 296,695.86 and 57,524.68

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Solution

The fourth proportional to 197,764.84, 296,695.86 and 57,524.68 is: 86,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764.84 : 296,695.86 = 57,524.68 : x
  2. Step 2: Convert to fraction form
    197,764.84/296,695.86 = 57,524.68/x
  3. Step 3: Cross multiply
    197,764.84x = 296,695.86 × 57,524.68
  4. Step 4: Simplify right side
    197,764.84x = 17,067,334,403.82
  5. Step 5: Solve for x
    x = 17,067,334,403.82/197,764.84
  6. Step 6: Final answer
    x = 86,301.16

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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.