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Finding the Fourth Proportional to 197,752.25, 296,643.81 and 64,645.97

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Solution

The fourth proportional to 197,752.25, 296,643.81 and 64,645.97 is: 96,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,752.25 : 296,643.81 = 64,645.97 : x
  2. Step 2: Convert to fraction form
    197,752.25/296,643.81 = 64,645.97/x
  3. Step 3: Cross multiply
    197,752.25x = 296,643.81 × 64,645.97
  4. Step 4: Simplify right side
    197,752.25x = 19,176,825,358.73
  5. Step 5: Solve for x
    x = 19,176,825,358.73/197,752.25
  6. Step 6: Final answer
    x = 96,974.00

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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.