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Finding the Fourth Proportional to 309,931.82, 464,717.10 and 120,170.50

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Solution

The fourth proportional to 309,931.82, 464,717.10 and 120,170.50 is: 180,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,931.82 : 464,717.10 = 120,170.50 : x
  2. Step 2: Convert to fraction form
    309,931.82/464,717.10 = 120,170.50/x
  3. Step 3: Cross multiply
    309,931.82x = 464,717.10 × 120,170.50
  4. Step 4: Simplify right side
    309,931.82x = 55,845,285,664.70
  5. Step 5: Solve for x
    x = 55,845,285,664.70/309,931.82
  6. Step 6: Final answer
    x = 180,185.71

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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.