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Finding the Fourth Proportional to 165,874.50, 248,811.93 and 41,215.50

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Solution

The fourth proportional to 165,874.50, 248,811.93 and 41,215.50 is: 61,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,874.50 : 248,811.93 = 41,215.50 : x
  2. Step 2: Convert to fraction form
    165,874.50/248,811.93 = 41,215.50/x
  3. Step 3: Cross multiply
    165,874.50x = 248,811.93 × 41,215.50
  4. Step 4: Simplify right side
    165,874.50x = 10,254,908,100.92
  5. Step 5: Solve for x
    x = 10,254,908,100.92/165,874.50
  6. Step 6: Final answer
    x = 61,823.29

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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.