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Finding the Fourth Proportional to 166,216.38, 229,298.54 and 108,830.40

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Solution

The fourth proportional to 166,216.38, 229,298.54 and 108,830.40 is: 150,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,216.38 : 229,298.54 = 108,830.40 : x
  2. Step 2: Convert to fraction form
    166,216.38/229,298.54 = 108,830.40/x
  3. Step 3: Cross multiply
    166,216.38x = 229,298.54 × 108,830.40
  4. Step 4: Simplify right side
    166,216.38x = 24,954,651,827.62
  5. Step 5: Solve for x
    x = 24,954,651,827.62/166,216.38
  6. Step 6: Final answer
    x = 150,133.53

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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.