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Finding the Fourth Proportional to 109,650.60, 164,514.30 and 105,810.60

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Solution

The fourth proportional to 109,650.60, 164,514.30 and 105,810.60 is: 158,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650.60 : 164,514.30 = 105,810.60 : x
  2. Step 2: Convert to fraction form
    109,650.60/164,514.30 = 105,810.60/x
  3. Step 3: Cross multiply
    109,650.60x = 164,514.30 × 105,810.60
  4. Step 4: Simplify right side
    109,650.60x = 17,407,356,791.58
  5. Step 5: Solve for x
    x = 17,407,356,791.58/109,650.60
  6. Step 6: Final answer
    x = 158,752.96

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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.