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Finding the Fourth Proportional to 211,523.34, 317,157.18 and 99,228.18

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Solution

The fourth proportional to 211,523.34, 317,157.18 and 99,228.18 is: 148,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,523.34 : 317,157.18 = 99,228.18 : x
  2. Step 2: Convert to fraction form
    211,523.34/317,157.18 = 99,228.18/x
  3. Step 3: Cross multiply
    211,523.34x = 317,157.18 × 99,228.18
  4. Step 4: Simplify right side
    211,523.34x = 31,470,929,745.33
  5. Step 5: Solve for x
    x = 31,470,929,745.33/211,523.34
  6. Step 6: Final answer
    x = 148,782.30

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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.