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Finding the Fourth Proportional to 166,807.94, 230,194.52 and 90,327.12

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Solution

The fourth proportional to 166,807.94, 230,194.52 and 90,327.12 is: 124,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,807.94 : 230,194.52 = 90,327.12 : x
  2. Step 2: Convert to fraction form
    166,807.94/230,194.52 = 90,327.12/x
  3. Step 3: Cross multiply
    166,807.94x = 230,194.52 × 90,327.12
  4. Step 4: Simplify right side
    166,807.94x = 20,792,808,031.38
  5. Step 5: Solve for x
    x = 20,792,808,031.38/166,807.94
  6. Step 6: Final answer
    x = 124,651.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.