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Finding the Fourth Proportional to 133,765.84, 184,598.94 and 73,342

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Solution

The fourth proportional to 133,765.84, 184,598.94 and 73,342 is: 101,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,765.84 : 184,598.94 = 73,342 : x
  2. Step 2: Convert to fraction form
    133,765.84/184,598.94 = 73,342/x
  3. Step 3: Cross multiply
    133,765.84x = 184,598.94 × 73,342
  4. Step 4: Simplify right side
    133,765.84x = 13,538,855,457.48
  5. Step 5: Solve for x
    x = 13,538,855,457.48/133,765.84
  6. Step 6: Final answer
    x = 101,213.10

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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.