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Finding the Fourth Proportional to 166,465.80, 229,723.76 and 91,014.30

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Solution

The fourth proportional to 166,465.80, 229,723.76 and 91,014.30 is: 125,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,465.80 : 229,723.76 = 91,014.30 : x
  2. Step 2: Convert to fraction form
    166,465.80/229,723.76 = 91,014.30/x
  3. Step 3: Cross multiply
    166,465.80x = 229,723.76 × 91,014.30
  4. Step 4: Simplify right side
    166,465.80x = 20,908,147,209.77
  5. Step 5: Solve for x
    x = 20,908,147,209.77/166,465.80
  6. Step 6: Final answer
    x = 125,600.26

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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.