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Finding the Fourth Proportional to 222,924, 334,359.12 and 56,713.44

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Solution

The fourth proportional to 222,924, 334,359.12 and 56,713.44 is: 85,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,924 : 334,359.12 = 56,713.44 : x
  2. Step 2: Convert to fraction form
    222,924/334,359.12 = 56,713.44/x
  3. Step 3: Cross multiply
    222,924x = 334,359.12 × 56,713.44
  4. Step 4: Simplify right side
    222,924x = 18,962,655,890.57
  5. Step 5: Solve for x
    x = 18,962,655,890.57/222,924
  6. Step 6: Final answer
    x = 85,063.32

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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.