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Finding the Fourth Proportional to 133,793.12, 184,632.84 and 77,203.28

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Solution

The fourth proportional to 133,793.12, 184,632.84 and 77,203.28 is: 106,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,793.12 : 184,632.84 = 77,203.28 : x
  2. Step 2: Convert to fraction form
    133,793.12/184,632.84 = 77,203.28/x
  3. Step 3: Cross multiply
    133,793.12x = 184,632.84 × 77,203.28
  4. Step 4: Simplify right side
    133,793.12x = 14,254,260,843.72
  5. Step 5: Solve for x
    x = 14,254,260,843.72/133,793.12
  6. Step 6: Final answer
    x = 106,539.57

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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.