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Finding the Fourth Proportional to 197,731.86, 296,648.34 and 57,490.48

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Solution

The fourth proportional to 197,731.86, 296,648.34 and 57,490.48 is: 86,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,731.86 : 296,648.34 = 57,490.48 : x
  2. Step 2: Convert to fraction form
    197,731.86/296,648.34 = 57,490.48/x
  3. Step 3: Cross multiply
    197,731.86x = 296,648.34 × 57,490.48
  4. Step 4: Simplify right side
    197,731.86x = 17,054,455,457.80
  5. Step 5: Solve for x
    x = 17,054,455,457.80/197,731.86
  6. Step 6: Final answer
    x = 86,250.42

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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.