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Finding the Fourth Proportional to 259,277, 357,802.50 and 140,045

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Solution

The fourth proportional to 259,277, 357,802.50 and 140,045 is: 193,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,277 : 357,802.50 = 140,045 : x
  2. Step 2: Convert to fraction form
    259,277/357,802.50 = 140,045/x
  3. Step 3: Cross multiply
    259,277x = 357,802.50 × 140,045
  4. Step 4: Simplify right side
    259,277x = 50,108,451,112.50
  5. Step 5: Solve for x
    x = 50,108,451,112.50/259,277
  6. Step 6: Final answer
    x = 193,262.23

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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.