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Finding the Fourth Proportional to 133,534.77, 184,280.16 and 73,104.38

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Solution

The fourth proportional to 133,534.77, 184,280.16 and 73,104.38 is: 100,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,534.77 : 184,280.16 = 73,104.38 : x
  2. Step 2: Convert to fraction form
    133,534.77/184,280.16 = 73,104.38/x
  3. Step 3: Cross multiply
    133,534.77x = 184,280.16 × 73,104.38
  4. Step 4: Simplify right side
    133,534.77x = 13,471,686,843.10
  5. Step 5: Solve for x
    x = 13,471,686,843.10/133,534.77
  6. Step 6: Final answer
    x = 100,885.24

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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.