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Finding the Fourth Proportional to 342,874.83, 514,394.33 and 143,084.06

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Solution

The fourth proportional to 342,874.83, 514,394.33 and 143,084.06 is: 214,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,874.83 : 514,394.33 = 143,084.06 : x
  2. Step 2: Convert to fraction form
    342,874.83/514,394.33 = 143,084.06/x
  3. Step 3: Cross multiply
    342,874.83x = 514,394.33 × 143,084.06
  4. Step 4: Simplify right side
    342,874.83x = 73,601,629,177.38
  5. Step 5: Solve for x
    x = 73,601,629,177.38/342,874.83
  6. Step 6: Final answer
    x = 214,660.34

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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.