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Finding the Fourth Proportional to 261,093, 360,310.50 and 141,861

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Solution

The fourth proportional to 261,093, 360,310.50 and 141,861 is: 195,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,093 : 360,310.50 = 141,861 : x
  2. Step 2: Convert to fraction form
    261,093/360,310.50 = 141,861/x
  3. Step 3: Cross multiply
    261,093x = 360,310.50 × 141,861
  4. Step 4: Simplify right side
    261,093x = 51,114,007,840.50
  5. Step 5: Solve for x
    x = 51,114,007,840.50/261,093
  6. Step 6: Final answer
    x = 195,769.35

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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.