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Finding the Fourth Proportional to 166,241, 229,488.08 and 105,894.36

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Solution

The fourth proportional to 166,241, 229,488.08 and 105,894.36 is: 146,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,241 : 229,488.08 = 105,894.36 : x
  2. Step 2: Convert to fraction form
    166,241/229,488.08 = 105,894.36/x
  3. Step 3: Cross multiply
    166,241x = 229,488.08 × 105,894.36
  4. Step 4: Simplify right side
    166,241x = 24,301,493,359.23
  5. Step 5: Solve for x
    x = 24,301,493,359.23/166,241
  6. Step 6: Final answer
    x = 146,182.31

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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.