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Finding the Fourth Proportional to 301,180, 451,677.84 and 101,446.84

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Solution

The fourth proportional to 301,180, 451,677.84 and 101,446.84 is: 152,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,180 : 451,677.84 = 101,446.84 : x
  2. Step 2: Convert to fraction form
    301,180/451,677.84 = 101,446.84/x
  3. Step 3: Cross multiply
    301,180x = 451,677.84 × 101,446.84
  4. Step 4: Simplify right side
    301,180x = 45,821,289,566.03
  5. Step 5: Solve for x
    x = 45,821,289,566.03/301,180
  6. Step 6: Final answer
    x = 152,139.22

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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.