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Finding the Fourth Proportional to 109,918.20, 164,877.30 and 87,367.80

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Solution

The fourth proportional to 109,918.20, 164,877.30 and 87,367.80 is: 131,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,918.20 : 164,877.30 = 87,367.80 : x
  2. Step 2: Convert to fraction form
    109,918.20/164,877.30 = 87,367.80/x
  3. Step 3: Cross multiply
    109,918.20x = 164,877.30 × 87,367.80
  4. Step 4: Simplify right side
    109,918.20x = 14,404,966,970.94
  5. Step 5: Solve for x
    x = 14,404,966,970.94/109,918.20
  6. Step 6: Final answer
    x = 131,051.70

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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.