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Finding the Fourth Proportional to 189,835, 284,800.11 and 56,714.74

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Solution

The fourth proportional to 189,835, 284,800.11 and 56,714.74 is: 85,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,835 : 284,800.11 = 56,714.74 : x
  2. Step 2: Convert to fraction form
    189,835/284,800.11 = 56,714.74/x
  3. Step 3: Cross multiply
    189,835x = 284,800.11 × 56,714.74
  4. Step 4: Simplify right side
    189,835x = 16,152,364,190.62
  5. Step 5: Solve for x
    x = 16,152,364,190.62/189,835
  6. Step 6: Final answer
    x = 85,086.33

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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.