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Finding the Fourth Proportional to 222,926.34, 334,394.64 and 54,448.06

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Solution

The fourth proportional to 222,926.34, 334,394.64 and 54,448.06 is: 81,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,926.34 : 334,394.64 = 54,448.06 : x
  2. Step 2: Convert to fraction form
    222,926.34/334,394.64 = 54,448.06/x
  3. Step 3: Cross multiply
    222,926.34x = 334,394.64 × 54,448.06
  4. Step 4: Simplify right side
    222,926.34x = 18,207,139,422.40
  5. Step 5: Solve for x
    x = 18,207,139,422.40/222,926.34
  6. Step 6: Final answer
    x = 81,673.34

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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.