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Finding the Fourth Proportional to 203,494.56, 280,821.60 and 114,070.56

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Solution

The fourth proportional to 203,494.56, 280,821.60 and 114,070.56 is: 157,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.56 : 280,821.60 = 114,070.56 : x
  2. Step 2: Convert to fraction form
    203,494.56/280,821.60 = 114,070.56/x
  3. Step 3: Cross multiply
    203,494.56x = 280,821.60 × 114,070.56
  4. Step 4: Simplify right side
    203,494.56x = 32,033,477,172.10
  5. Step 5: Solve for x
    x = 32,033,477,172.10/203,494.56
  6. Step 6: Final answer
    x = 157,416.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.