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Finding the Fourth Proportional to 186,843.90, 280,233.45 and 68,454.30

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Solution

The fourth proportional to 186,843.90, 280,233.45 and 68,454.30 is: 102,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,843.90 : 280,233.45 = 68,454.30 : x
  2. Step 2: Convert to fraction form
    186,843.90/280,233.45 = 68,454.30/x
  3. Step 3: Cross multiply
    186,843.90x = 280,233.45 × 68,454.30
  4. Step 4: Simplify right side
    186,843.90x = 19,183,184,656.34
  5. Step 5: Solve for x
    x = 19,183,184,656.34/186,843.90
  6. Step 6: Final answer
    x = 102,669.58

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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.