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Finding the Fourth Proportional to 222,765.14, 334,142.16 and 64,994.96

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Solution

The fourth proportional to 222,765.14, 334,142.16 and 64,994.96 is: 97,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,765.14 : 334,142.16 = 64,994.96 : x
  2. Step 2: Convert to fraction form
    222,765.14/334,142.16 = 64,994.96/x
  3. Step 3: Cross multiply
    222,765.14x = 334,142.16 × 64,994.96
  4. Step 4: Simplify right side
    222,765.14x = 21,717,554,652.80
  5. Step 5: Solve for x
    x = 21,717,554,652.80/222,765.14
  6. Step 6: Final answer
    x = 97,490.82

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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.