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Finding the Fourth Proportional to 243,698.32, 365,553.75 and 115,584.67

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Solution

The fourth proportional to 243,698.32, 365,553.75 and 115,584.67 is: 173,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,698.32 : 365,553.75 = 115,584.67 : x
  2. Step 2: Convert to fraction form
    243,698.32/365,553.75 = 115,584.67/x
  3. Step 3: Cross multiply
    243,698.32x = 365,553.75 × 115,584.67
  4. Step 4: Simplify right side
    243,698.32x = 42,252,407,733.24
  5. Step 5: Solve for x
    x = 42,252,407,733.24/243,698.32
  6. Step 6: Final answer
    x = 173,379.97

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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.