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Finding the Fourth Proportional to 213,153.44, 319,729.60 and 200,162.12

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Solution

The fourth proportional to 213,153.44, 319,729.60 and 200,162.12 is: 300,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,153.44 : 319,729.60 = 200,162.12 : x
  2. Step 2: Convert to fraction form
    213,153.44/319,729.60 = 200,162.12/x
  3. Step 3: Cross multiply
    213,153.44x = 319,729.60 × 200,162.12
  4. Step 4: Simplify right side
    213,153.44x = 63,997,754,562.75
  5. Step 5: Solve for x
    x = 63,997,754,562.75/213,153.44
  6. Step 6: Final answer
    x = 300,242.65

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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.