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Finding the Fourth Proportional to 217,042.92, 325,675.53 and 103,319.44

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Solution

The fourth proportional to 217,042.92, 325,675.53 and 103,319.44 is: 155,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.92 : 325,675.53 = 103,319.44 : x
  2. Step 2: Convert to fraction form
    217,042.92/325,675.53 = 103,319.44/x
  3. Step 3: Cross multiply
    217,042.92x = 325,675.53 × 103,319.44
  4. Step 4: Simplify right side
    217,042.92x = 33,648,612,567.11
  5. Step 5: Solve for x
    x = 33,648,612,567.11/217,042.92
  6. Step 6: Final answer
    x = 155,032.07

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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.