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Finding the Fourth Proportional to 133,543.74, 184,290.90 and 73,120

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Solution

The fourth proportional to 133,543.74, 184,290.90 and 73,120 is: 100,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,543.74 : 184,290.90 = 73,120 : x
  2. Step 2: Convert to fraction form
    133,543.74/184,290.90 = 73,120/x
  3. Step 3: Cross multiply
    133,543.74x = 184,290.90 × 73,120
  4. Step 4: Simplify right side
    133,543.74x = 13,475,350,608
  5. Step 5: Solve for x
    x = 13,475,350,608/133,543.74
  6. Step 6: Final answer
    x = 100,905.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.