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Finding the Fourth Proportional to 222,825.80, 334,258.14 and 82,585.64

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Solution

The fourth proportional to 222,825.80, 334,258.14 and 82,585.64 is: 123,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,825.80 : 334,258.14 = 82,585.64 : x
  2. Step 2: Convert to fraction form
    222,825.80/334,258.14 = 82,585.64/x
  3. Step 3: Cross multiply
    222,825.80x = 334,258.14 × 82,585.64
  4. Step 4: Simplify right side
    222,825.80x = 27,604,922,417.11
  5. Step 5: Solve for x
    x = 27,604,922,417.11/222,825.80
  6. Step 6: Final answer
    x = 123,885.67

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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.