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Finding the Fourth Proportional to 188,221, 282,331.50 and 56,893

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Solution

The fourth proportional to 188,221, 282,331.50 and 56,893 is: 85,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,221 : 282,331.50 = 56,893 : x
  2. Step 2: Convert to fraction form
    188,221/282,331.50 = 56,893/x
  3. Step 3: Cross multiply
    188,221x = 282,331.50 × 56,893
  4. Step 4: Simplify right side
    188,221x = 16,062,686,029.50
  5. Step 5: Solve for x
    x = 16,062,686,029.50/188,221
  6. Step 6: Final answer
    x = 85,339.50

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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.