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Finding the Fourth Proportional to 166,045, 229,142.10 and 106,429

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Solution

The fourth proportional to 166,045, 229,142.10 and 106,429 is: 146,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,045 : 229,142.10 = 106,429 : x
  2. Step 2: Convert to fraction form
    166,045/229,142.10 = 106,429/x
  3. Step 3: Cross multiply
    166,045x = 229,142.10 × 106,429
  4. Step 4: Simplify right side
    166,045x = 24,387,364,560.90
  5. Step 5: Solve for x
    x = 24,387,364,560.90/166,045
  6. Step 6: Final answer
    x = 146,872.02

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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.