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Finding the Fourth Proportional to 201,778.64, 278,441.16 and 116,880.56

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Solution

The fourth proportional to 201,778.64, 278,441.16 and 116,880.56 is: 161,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,778.64 : 278,441.16 = 116,880.56 : x
  2. Step 2: Convert to fraction form
    201,778.64/278,441.16 = 116,880.56/x
  3. Step 3: Cross multiply
    201,778.64x = 278,441.16 × 116,880.56
  4. Step 4: Simplify right side
    201,778.64x = 32,544,358,707.85
  5. Step 5: Solve for x
    x = 32,544,358,707.85/201,778.64
  6. Step 6: Final answer
    x = 161,287.43

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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.