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Finding the Fourth Proportional to 233,211.38, 349,803.16 and 137,202.53

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Solution

The fourth proportional to 233,211.38, 349,803.16 and 137,202.53 is: 205,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,211.38 : 349,803.16 = 137,202.53 : x
  2. Step 2: Convert to fraction form
    233,211.38/349,803.16 = 137,202.53/x
  3. Step 3: Cross multiply
    233,211.38x = 349,803.16 × 137,202.53
  4. Step 4: Simplify right side
    233,211.38x = 47,993,876,461.97
  5. Step 5: Solve for x
    x = 47,993,876,461.97/233,211.38
  6. Step 6: Final answer
    x = 205,795.61

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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.