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Finding the Fourth Proportional to 133,866.54, 184,724.06 and 76,494.47

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Solution

The fourth proportional to 133,866.54, 184,724.06 and 76,494.47 is: 105,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866.54 : 184,724.06 = 76,494.47 : x
  2. Step 2: Convert to fraction form
    133,866.54/184,724.06 = 76,494.47/x
  3. Step 3: Cross multiply
    133,866.54x = 184,724.06 × 76,494.47
  4. Step 4: Simplify right side
    133,866.54x = 14,130,367,759.86
  5. Step 5: Solve for x
    x = 14,130,367,759.86/133,866.54
  6. Step 6: Final answer
    x = 105,555.64

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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.