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Finding the Fourth Proportional to 253,917.88, 350,394.42 and 146,522.60

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Solution

The fourth proportional to 253,917.88, 350,394.42 and 146,522.60 is: 202,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,917.88 : 350,394.42 = 146,522.60 : x
  2. Step 2: Convert to fraction form
    253,917.88/350,394.42 = 146,522.60/x
  3. Step 3: Cross multiply
    253,917.88x = 350,394.42 × 146,522.60
  4. Step 4: Simplify right side
    253,917.88x = 51,340,701,443.89
  5. Step 5: Solve for x
    x = 51,340,701,443.89/253,917.88
  6. Step 6: Final answer
    x = 202,194.12

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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.