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Finding the Fourth Proportional to 166,146, 229,385.16 and 106,633.68

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Solution

The fourth proportional to 166,146, 229,385.16 and 106,633.68 is: 147,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,146 : 229,385.16 = 106,633.68 : x
  2. Step 2: Convert to fraction form
    166,146/229,385.16 = 106,633.68/x
  3. Step 3: Cross multiply
    166,146x = 229,385.16 × 106,633.68
  4. Step 4: Simplify right side
    166,146x = 24,460,183,748.19
  5. Step 5: Solve for x
    x = 24,460,183,748.19/166,146
  6. Step 6: Final answer
    x = 147,221.02

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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.