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Finding the Fourth Proportional to 222,830.92, 334,210.56 and 65,022.40

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Solution

The fourth proportional to 222,830.92, 334,210.56 and 65,022.40 is: 97,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,830.92 : 334,210.56 = 65,022.40 : x
  2. Step 2: Convert to fraction form
    222,830.92/334,210.56 = 65,022.40/x
  3. Step 3: Cross multiply
    222,830.92x = 334,210.56 × 65,022.40
  4. Step 4: Simplify right side
    222,830.92x = 21,731,172,716.54
  5. Step 5: Solve for x
    x = 21,731,172,716.54/222,830.92
  6. Step 6: Final answer
    x = 97,523.15

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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.