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Finding the Fourth Proportional to 261,012.30, 360,222.24 and 146,310.42

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Solution

The fourth proportional to 261,012.30, 360,222.24 and 146,310.42 is: 201,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,012.30 : 360,222.24 = 146,310.42 : x
  2. Step 2: Convert to fraction form
    261,012.30/360,222.24 = 146,310.42/x
  3. Step 3: Cross multiply
    261,012.30x = 360,222.24 × 146,310.42
  4. Step 4: Simplify right side
    261,012.30x = 52,704,267,227.74
  5. Step 5: Solve for x
    x = 52,704,267,227.74/261,012.30
  6. Step 6: Final answer
    x = 201,922.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.