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Finding the Fourth Proportional to 309,154, 463,797.15 and 95,917.33

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Solution

The fourth proportional to 309,154, 463,797.15 and 95,917.33 is: 143,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,154 : 463,797.15 = 95,917.33 : x
  2. Step 2: Convert to fraction form
    309,154/463,797.15 = 95,917.33/x
  3. Step 3: Cross multiply
    309,154x = 463,797.15 × 95,917.33
  4. Step 4: Simplify right side
    309,154x = 44,486,184,289.61
  5. Step 5: Solve for x
    x = 44,486,184,289.61/309,154
  6. Step 6: Final answer
    x = 143,896.52

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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.