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Finding the Fourth Proportional to 110,172.96, 164,857.68 and 101,809.44

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Solution

The fourth proportional to 110,172.96, 164,857.68 and 101,809.44 is: 152,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,172.96 : 164,857.68 = 101,809.44 : x
  2. Step 2: Convert to fraction form
    110,172.96/164,857.68 = 101,809.44/x
  3. Step 3: Cross multiply
    110,172.96x = 164,857.68 × 101,809.44
  4. Step 4: Simplify right side
    110,172.96x = 16,784,068,080.50
  5. Step 5: Solve for x
    x = 16,784,068,080.50/110,172.96
  6. Step 6: Final answer
    x = 152,342.90

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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.