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Finding the Fourth Proportional to 281,538.44, 388,523.21 and 154,216.16

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Solution

The fourth proportional to 281,538.44, 388,523.21 and 154,216.16 is: 212,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,538.44 : 388,523.21 = 154,216.16 : x
  2. Step 2: Convert to fraction form
    281,538.44/388,523.21 = 154,216.16/x
  3. Step 3: Cross multiply
    281,538.44x = 388,523.21 × 154,216.16
  4. Step 4: Simplify right side
    281,538.44x = 59,916,554,803.38
  5. Step 5: Solve for x
    x = 59,916,554,803.38/281,538.44
  6. Step 6: Final answer
    x = 212,818.38

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Why These Related Problems?

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