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Finding the Fourth Proportional to 110,302.86, 165,472.51 and 43,743.34

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Solution

The fourth proportional to 110,302.86, 165,472.51 and 43,743.34 is: 65,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,302.86 : 165,472.51 = 43,743.34 : x
  2. Step 2: Convert to fraction form
    110,302.86/165,472.51 = 43,743.34/x
  3. Step 3: Cross multiply
    110,302.86x = 165,472.51 × 43,743.34
  4. Step 4: Simplify right side
    110,302.86x = 7,238,319,438.22
  5. Step 5: Solve for x
    x = 7,238,319,438.22/110,302.86
  6. Step 6: Final answer
    x = 65,622.23

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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.