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Finding the Fourth Proportional to 277,761.96, 416,518.38 and 165,495.05

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Solution

The fourth proportional to 277,761.96, 416,518.38 and 165,495.05 is: 248,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,761.96 : 416,518.38 = 165,495.05 : x
  2. Step 2: Convert to fraction form
    277,761.96/416,518.38 = 165,495.05/x
  3. Step 3: Cross multiply
    277,761.96x = 416,518.38 × 165,495.05
  4. Step 4: Simplify right side
    277,761.96x = 68,931,730,124.02
  5. Step 5: Solve for x
    x = 68,931,730,124.02/277,761.96
  6. Step 6: Final answer
    x = 248,168.36

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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.