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Finding the Fourth Proportional to 133,339.92, 184,055.43 and 76,773.84

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Solution

The fourth proportional to 133,339.92, 184,055.43 and 76,773.84 is: 105,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,339.92 : 184,055.43 = 76,773.84 : x
  2. Step 2: Convert to fraction form
    133,339.92/184,055.43 = 76,773.84/x
  3. Step 3: Cross multiply
    133,339.92x = 184,055.43 × 76,773.84
  4. Step 4: Simplify right side
    133,339.92x = 14,130,642,133.95
  5. Step 5: Solve for x
    x = 14,130,642,133.95/133,339.92
  6. Step 6: Final answer
    x = 105,974.58

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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.