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Finding the Fourth Proportional to 109,809.40, 164,714.10 and 92,094.70

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Solution

The fourth proportional to 109,809.40, 164,714.10 and 92,094.70 is: 138,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809.40 : 164,714.10 = 92,094.70 : x
  2. Step 2: Convert to fraction form
    109,809.40/164,714.10 = 92,094.70/x
  3. Step 3: Cross multiply
    109,809.40x = 164,714.10 × 92,094.70
  4. Step 4: Simplify right side
    109,809.40x = 15,169,295,625.27
  5. Step 5: Solve for x
    x = 15,169,295,625.27/109,809.40
  6. Step 6: Final answer
    x = 138,142.05

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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.