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Finding the Fourth Proportional to 207,465.60, 311,198.40 and 185,158.20

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Solution

The fourth proportional to 207,465.60, 311,198.40 and 185,158.20 is: 277,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,465.60 : 311,198.40 = 185,158.20 : x
  2. Step 2: Convert to fraction form
    207,465.60/311,198.40 = 185,158.20/x
  3. Step 3: Cross multiply
    207,465.60x = 311,198.40 × 185,158.20
  4. Step 4: Simplify right side
    207,465.60x = 57,620,935,586.88
  5. Step 5: Solve for x
    x = 57,620,935,586.88/207,465.60
  6. Step 6: Final answer
    x = 277,737.30

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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.