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Finding the Fourth Proportional to 213,324.10, 319,208.55 and 194,661.70

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Solution

The fourth proportional to 213,324.10, 319,208.55 and 194,661.70 is: 291,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,324.10 : 319,208.55 = 194,661.70 : x
  2. Step 2: Convert to fraction form
    213,324.10/319,208.55 = 194,661.70/x
  3. Step 3: Cross multiply
    213,324.10x = 319,208.55 × 194,661.70
  4. Step 4: Simplify right side
    213,324.10x = 62,137,678,997.54
  5. Step 5: Solve for x
    x = 62,137,678,997.54/213,324.10
  6. Step 6: Final answer
    x = 291,282.98

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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.