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Finding the Fourth Proportional to 133,509.32, 184,243.14 and 73,083.83

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Solution

The fourth proportional to 133,509.32, 184,243.14 and 73,083.83 is: 100,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509.32 : 184,243.14 = 73,083.83 : x
  2. Step 2: Convert to fraction form
    133,509.32/184,243.14 = 73,083.83/x
  3. Step 3: Cross multiply
    133,509.32x = 184,243.14 × 73,083.83
  4. Step 4: Simplify right side
    133,509.32x = 13,465,193,401.21
  5. Step 5: Solve for x
    x = 13,465,193,401.21/133,509.32
  6. Step 6: Final answer
    x = 100,855.83

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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.