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Finding the Fourth Proportional to 209,745.20, 314,617.80 and 115,266.80

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Solution

The fourth proportional to 209,745.20, 314,617.80 and 115,266.80 is: 172,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745.20 : 314,617.80 = 115,266.80 : x
  2. Step 2: Convert to fraction form
    209,745.20/314,617.80 = 115,266.80/x
  3. Step 3: Cross multiply
    209,745.20x = 314,617.80 × 115,266.80
  4. Step 4: Simplify right side
    209,745.20x = 36,264,987,029.04
  5. Step 5: Solve for x
    x = 36,264,987,029.04/209,745.20
  6. Step 6: Final answer
    x = 172,900.20

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1.5x scale

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.