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Finding the Fourth Proportional to 229,214.30, 343,821.45 and 166,228.70

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Solution

The fourth proportional to 229,214.30, 343,821.45 and 166,228.70 is: 249,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,214.30 : 343,821.45 = 166,228.70 : x
  2. Step 2: Convert to fraction form
    229,214.30/343,821.45 = 166,228.70/x
  3. Step 3: Cross multiply
    229,214.30x = 343,821.45 × 166,228.70
  4. Step 4: Simplify right side
    229,214.30x = 57,152,992,665.62
  5. Step 5: Solve for x
    x = 57,152,992,665.62/229,214.30
  6. Step 6: Final answer
    x = 249,343.05

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