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Finding the Fourth Proportional to 133,628.38, 184,422.69 and 77,041.78

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Solution

The fourth proportional to 133,628.38, 184,422.69 and 77,041.78 is: 106,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,628.38 : 184,422.69 = 77,041.78 : x
  2. Step 2: Convert to fraction form
    133,628.38/184,422.69 = 77,041.78/x
  3. Step 3: Cross multiply
    133,628.38x = 184,422.69 × 77,041.78
  4. Step 4: Simplify right side
    133,628.38x = 14,208,252,309.99
  5. Step 5: Solve for x
    x = 14,208,252,309.99/133,628.38
  6. Step 6: Final answer
    x = 106,326.61

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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.