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Finding the Fourth Proportional to 213,774.60, 320,661.90 and 113,896.20

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Solution

The fourth proportional to 213,774.60, 320,661.90 and 113,896.20 is: 170,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,774.60 : 320,661.90 = 113,896.20 : x
  2. Step 2: Convert to fraction form
    213,774.60/320,661.90 = 113,896.20/x
  3. Step 3: Cross multiply
    213,774.60x = 320,661.90 × 113,896.20
  4. Step 4: Simplify right side
    213,774.60x = 36,522,171,894.78
  5. Step 5: Solve for x
    x = 36,522,171,894.78/213,774.60
  6. Step 6: Final answer
    x = 170,844.30

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1.5x scale

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.