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Finding the Fourth Proportional to 212,838.96, 319,466.20 and 175,776.60

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Solution

The fourth proportional to 212,838.96, 319,466.20 and 175,776.60 is: 263,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838.96 : 319,466.20 = 175,776.60 : x
  2. Step 2: Convert to fraction form
    212,838.96/319,466.20 = 175,776.60/x
  3. Step 3: Cross multiply
    212,838.96x = 319,466.20 × 175,776.60
  4. Step 4: Simplify right side
    212,838.96x = 56,154,682,450.92
  5. Step 5: Solve for x
    x = 56,154,682,450.92/212,838.96
  6. Step 6: Final answer
    x = 263,836.48

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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.