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Finding the Fourth Proportional to 309,727.61, 464,405.50 and 107,256.97

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Solution

The fourth proportional to 309,727.61, 464,405.50 and 107,256.97 is: 160,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,727.61 : 464,405.50 = 107,256.97 : x
  2. Step 2: Convert to fraction form
    309,727.61/464,405.50 = 107,256.97/x
  3. Step 3: Cross multiply
    309,727.61x = 464,405.50 × 107,256.97
  4. Step 4: Simplify right side
    309,727.61x = 49,810,726,781.34
  5. Step 5: Solve for x
    x = 49,810,726,781.34/309,727.61
  6. Step 6: Final answer
    x = 160,821.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.