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Finding the Fourth Proportional to 197,178.57, 295,943.63 and 92,056.77

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Solution

The fourth proportional to 197,178.57, 295,943.63 and 92,056.77 is: 138,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,178.57 : 295,943.63 = 92,056.77 : x
  2. Step 2: Convert to fraction form
    197,178.57/295,943.63 = 92,056.77/x
  3. Step 3: Cross multiply
    197,178.57x = 295,943.63 × 92,056.77
  4. Step 4: Simplify right side
    197,178.57x = 27,243,614,219.59
  5. Step 5: Solve for x
    x = 27,243,614,219.59/197,178.57
  6. Step 6: Final answer
    x = 138,167.22

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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.