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Finding the Fourth Proportional to 301,223.82, 451,548.57 and 101,441.40

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Solution

The fourth proportional to 301,223.82, 451,548.57 and 101,441.40 is: 152,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,223.82 : 451,548.57 = 101,441.40 : x
  2. Step 2: Convert to fraction form
    301,223.82/451,548.57 = 101,441.40/x
  3. Step 3: Cross multiply
    301,223.82x = 451,548.57 × 101,441.40
  4. Step 4: Simplify right side
    301,223.82x = 45,805,719,108.80
  5. Step 5: Solve for x
    x = 45,805,719,108.80/301,223.82
  6. Step 6: Final answer
    x = 152,065.39

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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.