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Finding the Fourth Proportional to 213,017.66, 317,782.02 and 207,226.22

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Solution

The fourth proportional to 213,017.66, 317,782.02 and 207,226.22 is: 309,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,017.66 : 317,782.02 = 207,226.22 : x
  2. Step 2: Convert to fraction form
    213,017.66/317,782.02 = 207,226.22/x
  3. Step 3: Cross multiply
    213,017.66x = 317,782.02 × 207,226.22
  4. Step 4: Simplify right side
    213,017.66x = 65,852,765,752.43
  5. Step 5: Solve for x
    x = 65,852,765,752.43/213,017.66
  6. Step 6: Final answer
    x = 309,142.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.