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Finding the Fourth Proportional to 261,338.70, 360,625.50 and 146,601.30

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Solution

The fourth proportional to 261,338.70, 360,625.50 and 146,601.30 is: 202,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,338.70 : 360,625.50 = 146,601.30 : x
  2. Step 2: Convert to fraction form
    261,338.70/360,625.50 = 146,601.30/x
  3. Step 3: Cross multiply
    261,338.70x = 360,625.50 × 146,601.30
  4. Step 4: Simplify right side
    261,338.70x = 52,868,167,113.15
  5. Step 5: Solve for x
    x = 52,868,167,113.15/261,338.70
  6. Step 6: Final answer
    x = 202,297.51

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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.