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Finding the Fourth Proportional to 229,709.80, 344,564.70 and 166,724.20

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Solution

The fourth proportional to 229,709.80, 344,564.70 and 166,724.20 is: 250,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,709.80 : 344,564.70 = 166,724.20 : x
  2. Step 2: Convert to fraction form
    229,709.80/344,564.70 = 166,724.20/x
  3. Step 3: Cross multiply
    229,709.80x = 344,564.70 × 166,724.20
  4. Step 4: Simplify right side
    229,709.80x = 57,447,273,955.74
  5. Step 5: Solve for x
    x = 57,447,273,955.74/229,709.80
  6. Step 6: Final answer
    x = 250,086.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.