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Finding the Fourth Proportional to 197,500.80, 296,320.32 and 57,267.84

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Solution

The fourth proportional to 197,500.80, 296,320.32 and 57,267.84 is: 85,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,500.80 : 296,320.32 = 57,267.84 : x
  2. Step 2: Convert to fraction form
    197,500.80/296,320.32 = 57,267.84/x
  3. Step 3: Cross multiply
    197,500.80x = 296,320.32 × 57,267.84
  4. Step 4: Simplify right side
    197,500.80x = 16,969,624,674.51
  5. Step 5: Solve for x
    x = 16,969,624,674.51/197,500.80
  6. Step 6: Final answer
    x = 85,921.80

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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.