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Finding the Fourth Proportional to 133,460.16, 184,104 and 82,501.44

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Solution

The fourth proportional to 133,460.16, 184,104 and 82,501.44 is: 113,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,460.16 : 184,104 = 82,501.44 : x
  2. Step 2: Convert to fraction form
    133,460.16/184,104 = 82,501.44/x
  3. Step 3: Cross multiply
    133,460.16x = 184,104 × 82,501.44
  4. Step 4: Simplify right side
    133,460.16x = 15,188,845,109.76
  5. Step 5: Solve for x
    x = 15,188,845,109.76/133,460.16
  6. Step 6: Final answer
    x = 113,808.08

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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.