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Finding the Fourth Proportional to 133,497.14, 184,221.50 and 73,066.48

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Solution

The fourth proportional to 133,497.14, 184,221.50 and 73,066.48 is: 100,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,497.14 : 184,221.50 = 73,066.48 : x
  2. Step 2: Convert to fraction form
    133,497.14/184,221.50 = 73,066.48/x
  3. Step 3: Cross multiply
    133,497.14x = 184,221.50 × 73,066.48
  4. Step 4: Simplify right side
    133,497.14x = 13,460,415,719.43
  5. Step 5: Solve for x
    x = 13,460,415,719.43/133,497.14
  6. Step 6: Final answer
    x = 100,829.25

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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.