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Finding the Fourth Proportional to 184,133.40, 276,005.70 and 71,770.20

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Solution

The fourth proportional to 184,133.40, 276,005.70 and 71,770.20 is: 107,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,133.40 : 276,005.70 = 71,770.20 : x
  2. Step 2: Convert to fraction form
    184,133.40/276,005.70 = 71,770.20/x
  3. Step 3: Cross multiply
    184,133.40x = 276,005.70 × 71,770.20
  4. Step 4: Simplify right side
    184,133.40x = 19,808,984,290.14
  5. Step 5: Solve for x
    x = 19,808,984,290.14/184,133.40
  6. Step 6: Final answer
    x = 107,579.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.