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Finding the Fourth Proportional to 202,919.46, 280,082.01 and 116,888.34

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Solution

The fourth proportional to 202,919.46, 280,082.01 and 116,888.34 is: 161,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,919.46 : 280,082.01 = 116,888.34 : x
  2. Step 2: Convert to fraction form
    202,919.46/280,082.01 = 116,888.34/x
  3. Step 3: Cross multiply
    202,919.46x = 280,082.01 × 116,888.34
  4. Step 4: Simplify right side
    202,919.46x = 32,738,321,212.76
  5. Step 5: Solve for x
    x = 32,738,321,212.76/202,919.46
  6. Step 6: Final answer
    x = 161,336.53

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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.