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Finding the Fourth Proportional to 212,143.89, 292,766.10 and 116,657.85

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Solution

The fourth proportional to 212,143.89, 292,766.10 and 116,657.85 is: 160,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,143.89 : 292,766.10 = 116,657.85 : x
  2. Step 2: Convert to fraction form
    212,143.89/292,766.10 = 116,657.85/x
  3. Step 3: Cross multiply
    212,143.89x = 292,766.10 × 116,657.85
  4. Step 4: Simplify right side
    212,143.89x = 34,153,463,778.89
  5. Step 5: Solve for x
    x = 34,153,463,778.89/212,143.89
  6. Step 6: Final answer
    x = 160,991.97

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