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Finding the Fourth Proportional to 133,600, 184,373.76 and 73,984

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Solution

The fourth proportional to 133,600, 184,373.76 and 73,984 is: 102,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,600 : 184,373.76 = 73,984 : x
  2. Step 2: Convert to fraction form
    133,600/184,373.76 = 73,984/x
  3. Step 3: Cross multiply
    133,600x = 184,373.76 × 73,984
  4. Step 4: Simplify right side
    133,600x = 13,640,708,259.84
  5. Step 5: Solve for x
    x = 13,640,708,259.84/133,600
  6. Step 6: Final answer
    x = 102,101.11

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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.