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Finding the Fourth Proportional to 233,847.81, 350,631.59 and 107,329.86

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Solution

The fourth proportional to 233,847.81, 350,631.59 and 107,329.86 is: 160,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,847.81 : 350,631.59 = 107,329.86 : x
  2. Step 2: Convert to fraction form
    233,847.81/350,631.59 = 107,329.86/x
  3. Step 3: Cross multiply
    233,847.81x = 350,631.59 × 107,329.86
  4. Step 4: Simplify right side
    233,847.81x = 37,633,238,929.63
  5. Step 5: Solve for x
    x = 37,633,238,929.63/233,847.81
  6. Step 6: Final answer
    x = 160,930.47

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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.