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Finding the Fourth Proportional to 133,354, 184,030.68 and 73,738

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Solution

The fourth proportional to 133,354, 184,030.68 and 73,738 is: 101,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,354 : 184,030.68 = 73,738 : x
  2. Step 2: Convert to fraction form
    133,354/184,030.68 = 73,738/x
  3. Step 3: Cross multiply
    133,354x = 184,030.68 × 73,738
  4. Step 4: Simplify right side
    133,354x = 13,570,054,281.84
  5. Step 5: Solve for x
    x = 13,570,054,281.84/133,354
  6. Step 6: Final answer
    x = 101,759.63

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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.