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Finding the Fourth Proportional to 309,612.48, 427,083.77 and 194,708.87

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Solution

The fourth proportional to 309,612.48, 427,083.77 and 194,708.87 is: 268,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,612.48 : 427,083.77 = 194,708.87 : x
  2. Step 2: Convert to fraction form
    309,612.48/427,083.77 = 194,708.87/x
  3. Step 3: Cross multiply
    309,612.48x = 427,083.77 × 194,708.87
  4. Step 4: Simplify right side
    309,612.48x = 83,156,997,474.80
  5. Step 5: Solve for x
    x = 83,156,997,474.80/309,612.48
  6. Step 6: Final answer
    x = 268,584.12

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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.