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Finding the Fourth Proportional to 212,228.98, 317,969.78 and 199,586.50

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Solution

The fourth proportional to 212,228.98, 317,969.78 and 199,586.50 is: 299,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,228.98 : 317,969.78 = 199,586.50 : x
  2. Step 2: Convert to fraction form
    212,228.98/317,969.78 = 199,586.50/x
  3. Step 3: Cross multiply
    212,228.98x = 317,969.78 × 199,586.50
  4. Step 4: Simplify right side
    212,228.98x = 63,462,473,703.11
  5. Step 5: Solve for x
    x = 63,462,473,703.11/212,228.98
  6. Step 6: Final answer
    x = 299,028.32

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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.