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Finding the Fourth Proportional to 222,684.88, 334,022.47 and 54,206.10

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Solution

The fourth proportional to 222,684.88, 334,022.47 and 54,206.10 is: 81,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,684.88 : 334,022.47 = 54,206.10 : x
  2. Step 2: Convert to fraction form
    222,684.88/334,022.47 = 54,206.10/x
  3. Step 3: Cross multiply
    222,684.88x = 334,022.47 × 54,206.10
  4. Step 4: Simplify right side
    222,684.88x = 18,106,055,411.07
  5. Step 5: Solve for x
    x = 18,106,055,411.07/222,684.88
  6. Step 6: Final answer
    x = 81,307.97

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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.