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Finding the Fourth Proportional to 222,830.32, 334,212.60 and 65,016.40

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Solution

The fourth proportional to 222,830.32, 334,212.60 and 65,016.40 is: 97,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,830.32 : 334,212.60 = 65,016.40 : x
  2. Step 2: Convert to fraction form
    222,830.32/334,212.60 = 65,016.40/x
  3. Step 3: Cross multiply
    222,830.32x = 334,212.60 × 65,016.40
  4. Step 4: Simplify right side
    222,830.32x = 21,729,300,086.64
  5. Step 5: Solve for x
    x = 21,729,300,086.64/222,830.32
  6. Step 6: Final answer
    x = 97,515.01

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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.