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Finding the Fourth Proportional to 133,844.77, 184,705.77 and 77,256.15

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Solution

The fourth proportional to 133,844.77, 184,705.77 and 77,256.15 is: 106,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,844.77 : 184,705.77 = 77,256.15 : x
  2. Step 2: Convert to fraction form
    133,844.77/184,705.77 = 77,256.15/x
  3. Step 3: Cross multiply
    133,844.77x = 184,705.77 × 77,256.15
  4. Step 4: Simplify right side
    133,844.77x = 14,269,656,270.05
  5. Step 5: Solve for x
    x = 14,269,656,270.05/133,844.77
  6. Step 6: Final answer
    x = 106,613.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.