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Finding the Fourth Proportional to 259,486.62, 357,890.04 and 163,958.46

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Solution

The fourth proportional to 259,486.62, 357,890.04 and 163,958.46 is: 226,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,486.62 : 357,890.04 = 163,958.46 : x
  2. Step 2: Convert to fraction form
    259,486.62/357,890.04 = 163,958.46/x
  3. Step 3: Cross multiply
    259,486.62x = 357,890.04 × 163,958.46
  4. Step 4: Simplify right side
    259,486.62x = 58,679,099,807.74
  5. Step 5: Solve for x
    x = 58,679,099,807.74/259,486.62
  6. Step 6: Final answer
    x = 226,135.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.