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Finding the Fourth Proportional to 133,588, 184,357.28 and 73,972

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Solution

The fourth proportional to 133,588, 184,357.28 and 73,972 is: 102,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,588 : 184,357.28 = 73,972 : x
  2. Step 2: Convert to fraction form
    133,588/184,357.28 = 73,972/x
  3. Step 3: Cross multiply
    133,588x = 184,357.28 × 73,972
  4. Step 4: Simplify right side
    133,588x = 13,637,276,716.16
  5. Step 5: Solve for x
    x = 13,637,276,716.16/133,588
  6. Step 6: Final answer
    x = 102,084.59

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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.