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Finding the Fourth Proportional to 301,765.20, 452,647.80 and 161,797.20

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Solution

The fourth proportional to 301,765.20, 452,647.80 and 161,797.20 is: 242,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,765.20 : 452,647.80 = 161,797.20 : x
  2. Step 2: Convert to fraction form
    301,765.20/452,647.80 = 161,797.20/x
  3. Step 3: Cross multiply
    301,765.20x = 452,647.80 × 161,797.20
  4. Step 4: Simplify right side
    301,765.20x = 73,237,146,626.16
  5. Step 5: Solve for x
    x = 73,237,146,626.16/301,765.20
  6. Step 6: Final answer
    x = 242,695.80

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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.