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Finding the Fourth Proportional to 166,549.35, 229,913.16 and 106,201.11

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Solution

The fourth proportional to 166,549.35, 229,913.16 and 106,201.11 is: 146,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,549.35 : 229,913.16 = 106,201.11 : x
  2. Step 2: Convert to fraction form
    166,549.35/229,913.16 = 106,201.11/x
  3. Step 3: Cross multiply
    166,549.35x = 229,913.16 × 106,201.11
  4. Step 4: Simplify right side
    166,549.35x = 24,417,032,795.61
  5. Step 5: Solve for x
    x = 24,417,032,795.61/166,549.35
  6. Step 6: Final answer
    x = 146,605.39

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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.