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Finding the Fourth Proportional to 197,713.50, 296,578.45 and 57,472.13

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Solution

The fourth proportional to 197,713.50, 296,578.45 and 57,472.13 is: 86,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,713.50 : 296,578.45 = 57,472.13 : x
  2. Step 2: Convert to fraction form
    197,713.50/296,578.45 = 57,472.13/x
  3. Step 3: Cross multiply
    197,713.50x = 296,578.45 × 57,472.13
  4. Step 4: Simplify right side
    197,713.50x = 17,044,995,233.60
  5. Step 5: Solve for x
    x = 17,044,995,233.60/197,713.50
  6. Step 6: Final answer
    x = 86,210.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.