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Finding the Fourth Proportional to 211,547.40, 317,321.10 and 202,216.20

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Solution

The fourth proportional to 211,547.40, 317,321.10 and 202,216.20 is: 303,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,547.40 : 317,321.10 = 202,216.20 : x
  2. Step 2: Convert to fraction form
    211,547.40/317,321.10 = 202,216.20/x
  3. Step 3: Cross multiply
    211,547.40x = 317,321.10 × 202,216.20
  4. Step 4: Simplify right side
    211,547.40x = 64,167,467,021.82
  5. Step 5: Solve for x
    x = 64,167,467,021.82/211,547.40
  6. Step 6: Final answer
    x = 303,324.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.