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Finding the Fourth Proportional to 197,465.16, 296,204.28 and 57,225

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Solution

The fourth proportional to 197,465.16, 296,204.28 and 57,225 is: 85,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,465.16 : 296,204.28 = 57,225 : x
  2. Step 2: Convert to fraction form
    197,465.16/296,204.28 = 57,225/x
  3. Step 3: Cross multiply
    197,465.16x = 296,204.28 × 57,225
  4. Step 4: Simplify right side
    197,465.16x = 16,950,289,923.00
  5. Step 5: Solve for x
    x = 16,950,289,923.00/197,465.16
  6. Step 6: Final answer
    x = 85,839.40

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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.