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Finding the Fourth Proportional to 197,405.91, 296,133.47 and 64,250.42

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Solution

The fourth proportional to 197,405.91, 296,133.47 and 64,250.42 is: 96,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,405.91 : 296,133.47 = 64,250.42 : x
  2. Step 2: Convert to fraction form
    197,405.91/296,133.47 = 64,250.42/x
  3. Step 3: Cross multiply
    197,405.91x = 296,133.47 × 64,250.42
  4. Step 4: Simplify right side
    197,405.91x = 19,026,698,262.58
  5. Step 5: Solve for x
    x = 19,026,698,262.58/197,405.91
  6. Step 6: Final answer
    x = 96,383.63

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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.