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Finding the Fourth Proportional to 190,814.82, 286,191.99 and 114,954.54

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Solution

The fourth proportional to 190,814.82, 286,191.99 and 114,954.54 is: 172,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,814.82 : 286,191.99 = 114,954.54 : x
  2. Step 2: Convert to fraction form
    190,814.82/286,191.99 = 114,954.54/x
  3. Step 3: Cross multiply
    190,814.82x = 286,191.99 × 114,954.54
  4. Step 4: Simplify right side
    190,814.82x = 32,899,068,562.13
  5. Step 5: Solve for x
    x = 32,899,068,562.13/190,814.82
  6. Step 6: Final answer
    x = 172,413.59

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Why These Related Problems?

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