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Finding the Fourth Proportional to 175,222.80, 262,834.20 and 135,901.20

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Solution

The fourth proportional to 175,222.80, 262,834.20 and 135,901.20 is: 203,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,222.80 : 262,834.20 = 135,901.20 : x
  2. Step 2: Convert to fraction form
    175,222.80/262,834.20 = 135,901.20/x
  3. Step 3: Cross multiply
    175,222.80x = 262,834.20 × 135,901.20
  4. Step 4: Simplify right side
    175,222.80x = 35,719,483,181.04
  5. Step 5: Solve for x
    x = 35,719,483,181.04/175,222.80
  6. Step 6: Final answer
    x = 203,851.80

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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.