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Finding the Fourth Proportional to 197,367.84, 296,090.64 and 72,709.92

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Solution

The fourth proportional to 197,367.84, 296,090.64 and 72,709.92 is: 109,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,367.84 : 296,090.64 = 72,709.92 : x
  2. Step 2: Convert to fraction form
    197,367.84/296,090.64 = 72,709.92/x
  3. Step 3: Cross multiply
    197,367.84x = 296,090.64 × 72,709.92
  4. Step 4: Simplify right side
    197,367.84x = 21,528,726,747.15
  5. Step 5: Solve for x
    x = 21,528,726,747.15/197,367.84
  6. Step 6: Final answer
    x = 109,079.20

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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.