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Finding the Fourth Proportional to 141,194.84, 211,866.18 and 56,975.96

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Solution

The fourth proportional to 141,194.84, 211,866.18 and 56,975.96 is: 85,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,194.84 : 211,866.18 = 56,975.96 : x
  2. Step 2: Convert to fraction form
    141,194.84/211,866.18 = 56,975.96/x
  3. Step 3: Cross multiply
    141,194.84x = 211,866.18 × 56,975.96
  4. Step 4: Simplify right side
    141,194.84x = 12,071,278,997.03
  5. Step 5: Solve for x
    x = 12,071,278,997.03/141,194.84
  6. Step 6: Final answer
    x = 85,493.77

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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.