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Finding the Fourth Proportional to 141,057.84, 211,689 and 52,323.96

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Solution

The fourth proportional to 141,057.84, 211,689 and 52,323.96 is: 78,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,057.84 : 211,689 = 52,323.96 : x
  2. Step 2: Convert to fraction form
    141,057.84/211,689 = 52,323.96/x
  3. Step 3: Cross multiply
    141,057.84x = 211,689 × 52,323.96
  4. Step 4: Simplify right side
    141,057.84x = 11,076,406,768.44
  5. Step 5: Solve for x
    x = 11,076,406,768.44/141,057.84
  6. Step 6: Final answer
    x = 78,523.86

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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.