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Finding the Fourth Proportional to 122,812.63, 184,264 and 51,753.15

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Solution

The fourth proportional to 122,812.63, 184,264 and 51,753.15 is: 77,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,812.63 : 184,264 = 51,753.15 : x
  2. Step 2: Convert to fraction form
    122,812.63/184,264 = 51,753.15/x
  3. Step 3: Cross multiply
    122,812.63x = 184,264 × 51,753.15
  4. Step 4: Simplify right side
    122,812.63x = 9,536,242,431.60
  5. Step 5: Solve for x
    x = 9,536,242,431.60/122,812.63
  6. Step 6: Final answer
    x = 77,648.71

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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.