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Finding the Fourth Proportional to 238,276.49, 357,309.75 and 111,952.67

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Solution

The fourth proportional to 238,276.49, 357,309.75 and 111,952.67 is: 167,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,276.49 : 357,309.75 = 111,952.67 : x
  2. Step 2: Convert to fraction form
    238,276.49/357,309.75 = 111,952.67/x
  3. Step 3: Cross multiply
    238,276.49x = 357,309.75 × 111,952.67
  4. Step 4: Simplify right side
    238,276.49x = 40,001,780,529.53
  5. Step 5: Solve for x
    x = 40,001,780,529.53/238,276.49
  6. Step 6: Final answer
    x = 167,879.68

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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.