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Finding the Fourth Proportional to 197,728.90, 296,564.55 and 57,472.90

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Solution

The fourth proportional to 197,728.90, 296,564.55 and 57,472.90 is: 86,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,728.90 : 296,564.55 = 57,472.90 : x
  2. Step 2: Convert to fraction form
    197,728.90/296,564.55 = 57,472.90/x
  3. Step 3: Cross multiply
    197,728.90x = 296,564.55 × 57,472.90
  4. Step 4: Simplify right side
    197,728.90x = 17,044,424,725.70
  5. Step 5: Solve for x
    x = 17,044,424,725.70/197,728.90
  6. Step 6: Final answer
    x = 86,200.98

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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.