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Finding the Fourth Proportional to 197,259.66, 295,891.65 and 57,019.50

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Solution

The fourth proportional to 197,259.66, 295,891.65 and 57,019.50 is: 85,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,259.66 : 295,891.65 = 57,019.50 : x
  2. Step 2: Convert to fraction form
    197,259.66/295,891.65 = 57,019.50/x
  3. Step 3: Cross multiply
    197,259.66x = 295,891.65 × 57,019.50
  4. Step 4: Simplify right side
    197,259.66x = 16,871,593,937.18
  5. Step 5: Solve for x
    x = 16,871,593,937.18/197,259.66
  6. Step 6: Final answer
    x = 85,529.87

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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.