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Finding the Fourth Proportional to 165,782.35, 248,847.47 and 146,927.68

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Solution

The fourth proportional to 165,782.35, 248,847.47 and 146,927.68 is: 220,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,782.35 : 248,847.47 = 146,927.68 : x
  2. Step 2: Convert to fraction form
    165,782.35/248,847.47 = 146,927.68/x
  3. Step 3: Cross multiply
    165,782.35x = 248,847.47 × 146,927.68
  4. Step 4: Simplify right side
    165,782.35x = 36,562,580,396.93
  5. Step 5: Solve for x
    x = 36,562,580,396.93/165,782.35
  6. Step 6: Final answer
    x = 220,545.67

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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.