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Finding the Fourth Proportional to 197,497.71, 296,246.57 and 108,705.51

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Solution

The fourth proportional to 197,497.71, 296,246.57 and 108,705.51 is: 163,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,497.71 : 296,246.57 = 108,705.51 : x
  2. Step 2: Convert to fraction form
    197,497.71/296,246.57 = 108,705.51/x
  3. Step 3: Cross multiply
    197,497.71x = 296,246.57 × 108,705.51
  4. Step 4: Simplify right side
    197,497.71x = 32,203,633,934.07
  5. Step 5: Solve for x
    x = 32,203,633,934.07/197,497.71
  6. Step 6: Final answer
    x = 163,058.27

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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.