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Finding the Fourth Proportional to 222,712.50, 334,088.22 and 56,500.50

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Solution

The fourth proportional to 222,712.50, 334,088.22 and 56,500.50 is: 84,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,712.50 : 334,088.22 = 56,500.50 : x
  2. Step 2: Convert to fraction form
    222,712.50/334,088.22 = 56,500.50/x
  3. Step 3: Cross multiply
    222,712.50x = 334,088.22 × 56,500.50
  4. Step 4: Simplify right side
    222,712.50x = 18,876,151,474.11
  5. Step 5: Solve for x
    x = 18,876,151,474.11/222,712.50
  6. Step 6: Final answer
    x = 84,755.69

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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.