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Finding the Fourth Proportional to 197,393.87, 296,203.67 and 83,532.71

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Solution

The fourth proportional to 197,393.87, 296,203.67 and 83,532.71 is: 125,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,393.87 : 296,203.67 = 83,532.71 : x
  2. Step 2: Convert to fraction form
    197,393.87/296,203.67 = 83,532.71/x
  3. Step 3: Cross multiply
    197,393.87x = 296,203.67 × 83,532.71
  4. Step 4: Simplify right side
    197,393.87x = 24,742,693,368.36
  5. Step 5: Solve for x
    x = 24,742,693,368.36/197,393.87
  6. Step 6: Final answer
    x = 125,346.82

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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.