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Finding the Fourth Proportional to 207,952.10, 311,928.15 and 194,830.10

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Solution

The fourth proportional to 207,952.10, 311,928.15 and 194,830.10 is: 292,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.10 : 311,928.15 = 194,830.10 : x
  2. Step 2: Convert to fraction form
    207,952.10/311,928.15 = 194,830.10/x
  3. Step 3: Cross multiply
    207,952.10x = 311,928.15 × 194,830.10
  4. Step 4: Simplify right side
    207,952.10x = 60,772,992,657.32
  5. Step 5: Solve for x
    x = 60,772,992,657.32/207,952.10
  6. Step 6: Final answer
    x = 292,245.15

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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.