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Finding the Fourth Proportional to 109,973.29, 165,784.03 and 102,649.54

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Solution

The fourth proportional to 109,973.29, 165,784.03 and 102,649.54 is: 154,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,973.29 : 165,784.03 = 102,649.54 : x
  2. Step 2: Convert to fraction form
    109,973.29/165,784.03 = 102,649.54/x
  3. Step 3: Cross multiply
    109,973.29x = 165,784.03 × 102,649.54
  4. Step 4: Simplify right side
    109,973.29x = 17,017,654,418.85
  5. Step 5: Solve for x
    x = 17,017,654,418.85/109,973.29
  6. Step 6: Final answer
    x = 154,743.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.