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Finding the Fourth Proportional to 189,735.40, 284,516.70 and 84,500.20

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Solution

The fourth proportional to 189,735.40, 284,516.70 and 84,500.20 is: 126,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.40 : 284,516.70 = 84,500.20 : x
  2. Step 2: Convert to fraction form
    189,735.40/284,516.70 = 84,500.20/x
  3. Step 3: Cross multiply
    189,735.40x = 284,516.70 × 84,500.20
  4. Step 4: Simplify right side
    189,735.40x = 24,041,718,053.34
  5. Step 5: Solve for x
    x = 24,041,718,053.34/189,735.40
  6. Step 6: Final answer
    x = 126,711.82

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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.