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Finding the Fourth Proportional to 301,013.80, 451,506.30 and 101,314.60

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Solution

The fourth proportional to 301,013.80, 451,506.30 and 101,314.60 is: 151,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,013.80 : 451,506.30 = 101,314.60 : x
  2. Step 2: Convert to fraction form
    301,013.80/451,506.30 = 101,314.60/x
  3. Step 3: Cross multiply
    301,013.80x = 451,506.30 × 101,314.60
  4. Step 4: Simplify right side
    301,013.80x = 45,744,180,181.98
  5. Step 5: Solve for x
    x = 45,744,180,181.98/301,013.80
  6. Step 6: Final answer
    x = 151,967.05

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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.