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Finding the Fourth Proportional to 133,584, 184,345.92 and 73,968

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Solution

The fourth proportional to 133,584, 184,345.92 and 73,968 is: 102,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584 : 184,345.92 = 73,968 : x
  2. Step 2: Convert to fraction form
    133,584/184,345.92 = 73,968/x
  3. Step 3: Cross multiply
    133,584x = 184,345.92 × 73,968
  4. Step 4: Simplify right side
    133,584x = 13,635,699,010.56
  5. Step 5: Solve for x
    x = 13,635,699,010.56/133,584
  6. Step 6: Final answer
    x = 102,075.84

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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.