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Finding the Fourth Proportional to 189,065.40, 283,598.10 and 165,737.40

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Solution

The fourth proportional to 189,065.40, 283,598.10 and 165,737.40 is: 248,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,065.40 : 283,598.10 = 165,737.40 : x
  2. Step 2: Convert to fraction form
    189,065.40/283,598.10 = 165,737.40/x
  3. Step 3: Cross multiply
    189,065.40x = 283,598.10 × 165,737.40
  4. Step 4: Simplify right side
    189,065.40x = 47,002,811,738.94
  5. Step 5: Solve for x
    x = 47,002,811,738.94/189,065.40
  6. Step 6: Final answer
    x = 248,606.10

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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.