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Finding the Fourth Proportional to 189,670.32, 284,555.88 and 56,550.96

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Solution

The fourth proportional to 189,670.32, 284,555.88 and 56,550.96 is: 84,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,670.32 : 284,555.88 = 56,550.96 : x
  2. Step 2: Convert to fraction form
    189,670.32/284,555.88 = 56,550.96/x
  3. Step 3: Cross multiply
    189,670.32x = 284,555.88 × 56,550.96
  4. Step 4: Simplify right side
    189,670.32x = 16,091,908,187.64
  5. Step 5: Solve for x
    x = 16,091,908,187.64/189,670.32
  6. Step 6: Final answer
    x = 84,841.47

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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.