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Finding the Fourth Proportional to 222,718.50, 334,097.22 and 56,506.50

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Solution

The fourth proportional to 222,718.50, 334,097.22 and 56,506.50 is: 84,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,718.50 : 334,097.22 = 56,506.50 : x
  2. Step 2: Convert to fraction form
    222,718.50/334,097.22 = 56,506.50/x
  3. Step 3: Cross multiply
    222,718.50x = 334,097.22 × 56,506.50
  4. Step 4: Simplify right side
    222,718.50x = 18,878,664,561.93
  5. Step 5: Solve for x
    x = 18,878,664,561.93/222,718.50
  6. Step 6: Final answer
    x = 84,764.69

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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.