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Finding the Fourth Proportional to 238,127.81, 357,191.69 and 111,855.20

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Solution

The fourth proportional to 238,127.81, 357,191.69 and 111,855.20 is: 167,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,127.81 : 357,191.69 = 111,855.20 : x
  2. Step 2: Convert to fraction form
    238,127.81/357,191.69 = 111,855.20/x
  3. Step 3: Cross multiply
    238,127.81x = 357,191.69 × 111,855.20
  4. Step 4: Simplify right side
    238,127.81x = 39,953,745,578.05
  5. Step 5: Solve for x
    x = 39,953,745,578.05/238,127.81
  6. Step 6: Final answer
    x = 167,782.78

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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.