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Finding the Fourth Proportional to 133,348, 184,020.24 and 73,732

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Solution

The fourth proportional to 133,348, 184,020.24 and 73,732 is: 101,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,348 : 184,020.24 = 73,732 : x
  2. Step 2: Convert to fraction form
    133,348/184,020.24 = 73,732/x
  3. Step 3: Cross multiply
    133,348x = 184,020.24 × 73,732
  4. Step 4: Simplify right side
    133,348x = 13,568,180,335.68
  5. Step 5: Solve for x
    x = 13,568,180,335.68/133,348
  6. Step 6: Final answer
    x = 101,750.16

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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.