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Finding the Fourth Proportional to 162,823.80, 244,235.70 and 96,229.65

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Solution

The fourth proportional to 162,823.80, 244,235.70 and 96,229.65 is: 144,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,823.80 : 244,235.70 = 96,229.65 : x
  2. Step 2: Convert to fraction form
    162,823.80/244,235.70 = 96,229.65/x
  3. Step 3: Cross multiply
    162,823.80x = 244,235.70 × 96,229.65
  4. Step 4: Simplify right side
    162,823.80x = 23,502,715,928.51
  5. Step 5: Solve for x
    x = 23,502,715,928.51/162,823.80
  6. Step 6: Final answer
    x = 144,344.48

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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.