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Finding the Fourth Proportional to 343,683.57, 515,689.43 and 166,091.88

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Solution

The fourth proportional to 343,683.57, 515,689.43 and 166,091.88 is: 249,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,683.57 : 515,689.43 = 166,091.88 : x
  2. Step 2: Convert to fraction form
    343,683.57/515,689.43 = 166,091.88/x
  3. Step 3: Cross multiply
    343,683.57x = 515,689.43 × 166,091.88
  4. Step 4: Simplify right side
    343,683.57x = 85,651,826,094.37
  5. Step 5: Solve for x
    x = 85,651,826,094.37/343,683.57
  6. Step 6: Final answer
    x = 249,217.11

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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.