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Finding the Fourth Proportional to 188,223, 282,334.50 and 56,895

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Solution

The fourth proportional to 188,223, 282,334.50 and 56,895 is: 85,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,223 : 282,334.50 = 56,895 : x
  2. Step 2: Convert to fraction form
    188,223/282,334.50 = 56,895/x
  3. Step 3: Cross multiply
    188,223x = 282,334.50 × 56,895
  4. Step 4: Simplify right side
    188,223x = 16,063,421,377.50
  5. Step 5: Solve for x
    x = 16,063,421,377.50/188,223
  6. Step 6: Final answer
    x = 85,342.50

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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.