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Finding the Fourth Proportional to 235,047.69, 324,632.88 and 158,434.65

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Solution

The fourth proportional to 235,047.69, 324,632.88 and 158,434.65 is: 218,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,047.69 : 324,632.88 = 158,434.65 : x
  2. Step 2: Convert to fraction form
    235,047.69/324,632.88 = 158,434.65/x
  3. Step 3: Cross multiply
    235,047.69x = 324,632.88 × 158,434.65
  4. Step 4: Simplify right side
    235,047.69x = 51,433,096,721.29
  5. Step 5: Solve for x
    x = 51,433,096,721.29/235,047.69
  6. Step 6: Final answer
    x = 218,819.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.