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Finding the Fourth Proportional to 309,714.02, 427,588.56 and 195,090.92

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Solution

The fourth proportional to 309,714.02, 427,588.56 and 195,090.92 is: 269,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,714.02 : 427,588.56 = 195,090.92 : x
  2. Step 2: Convert to fraction form
    309,714.02/427,588.56 = 195,090.92/x
  3. Step 3: Cross multiply
    309,714.02x = 427,588.56 × 195,090.92
  4. Step 4: Simplify right side
    309,714.02x = 83,418,643,413.93
  5. Step 5: Solve for x
    x = 83,418,643,413.93/309,714.02
  6. Step 6: Final answer
    x = 269,340.87

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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.