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Finding the Fourth Proportional to 190,996.56, 286,101.18 and 111,870.90

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Solution

The fourth proportional to 190,996.56, 286,101.18 and 111,870.90 is: 167,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,996.56 : 286,101.18 = 111,870.90 : x
  2. Step 2: Convert to fraction form
    190,996.56/286,101.18 = 111,870.90/x
  3. Step 3: Cross multiply
    190,996.56x = 286,101.18 × 111,870.90
  4. Step 4: Simplify right side
    190,996.56x = 32,006,396,497.66
  5. Step 5: Solve for x
    x = 32,006,396,497.66/190,996.56
  6. Step 6: Final answer
    x = 167,575.77

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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.