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Finding the Fourth Proportional to 135,907.87, 202,946.53 and 110,997.33

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Solution

The fourth proportional to 135,907.87, 202,946.53 and 110,997.33 is: 165,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,907.87 : 202,946.53 = 110,997.33 : x
  2. Step 2: Convert to fraction form
    135,907.87/202,946.53 = 110,997.33/x
  3. Step 3: Cross multiply
    135,907.87x = 202,946.53 × 110,997.33
  4. Step 4: Simplify right side
    135,907.87x = 22,526,522,962.76
  5. Step 5: Solve for x
    x = 22,526,522,962.76/135,907.87
  6. Step 6: Final answer
    x = 165,748.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.