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Finding the Fourth Proportional to 203,269.82, 280,533.12 and 117,232.16

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Solution

The fourth proportional to 203,269.82, 280,533.12 and 117,232.16 is: 161,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,269.82 : 280,533.12 = 117,232.16 : x
  2. Step 2: Convert to fraction form
    203,269.82/280,533.12 = 117,232.16/x
  3. Step 3: Cross multiply
    203,269.82x = 280,533.12 × 117,232.16
  4. Step 4: Simplify right side
    203,269.82x = 32,887,503,609.14
  5. Step 5: Solve for x
    x = 32,887,503,609.14/203,269.82
  6. Step 6: Final answer
    x = 161,792.36

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1.5x scale

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.