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Finding the Fourth Proportional to 207,468.20, 311,202.30 and 189,097.40

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Solution

The fourth proportional to 207,468.20, 311,202.30 and 189,097.40 is: 283,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,468.20 : 311,202.30 = 189,097.40 : x
  2. Step 2: Convert to fraction form
    207,468.20/311,202.30 = 189,097.40/x
  3. Step 3: Cross multiply
    207,468.20x = 311,202.30 × 189,097.40
  4. Step 4: Simplify right side
    207,468.20x = 58,847,545,804.02
  5. Step 5: Solve for x
    x = 58,847,545,804.02/207,468.20
  6. Step 6: Final answer
    x = 283,646.10

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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.