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Finding the Fourth Proportional to 189,859.68, 284,818.68 and 56,724.84

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Solution

The fourth proportional to 189,859.68, 284,818.68 and 56,724.84 is: 85,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,859.68 : 284,818.68 = 56,724.84 : x
  2. Step 2: Convert to fraction form
    189,859.68/284,818.68 = 56,724.84/x
  3. Step 3: Cross multiply
    189,859.68x = 284,818.68 × 56,724.84
  4. Step 4: Simplify right side
    189,859.68x = 16,156,294,052.01
  5. Step 5: Solve for x
    x = 16,156,294,052.01/189,859.68
  6. Step 6: Final answer
    x = 85,095.97

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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.