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Finding the Fourth Proportional to 133,922.38, 184,840.23 and 77,326.06

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Solution

The fourth proportional to 133,922.38, 184,840.23 and 77,326.06 is: 106,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,922.38 : 184,840.23 = 77,326.06 : x
  2. Step 2: Convert to fraction form
    133,922.38/184,840.23 = 77,326.06/x
  3. Step 3: Cross multiply
    133,922.38x = 184,840.23 × 77,326.06
  4. Step 4: Simplify right side
    133,922.38x = 14,292,966,715.39
  5. Step 5: Solve for x
    x = 14,292,966,715.39/133,922.38
  6. Step 6: Final answer
    x = 106,725.75

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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.