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Finding the Fourth Proportional to 281,755.90, 388,820.82 and 154,431.19

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Solution

The fourth proportional to 281,755.90, 388,820.82 and 154,431.19 is: 213,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,755.90 : 388,820.82 = 154,431.19 : x
  2. Step 2: Convert to fraction form
    281,755.90/388,820.82 = 154,431.19/x
  3. Step 3: Cross multiply
    281,755.90x = 388,820.82 × 154,431.19
  4. Step 4: Simplify right side
    281,755.90x = 60,046,061,929.38
  5. Step 5: Solve for x
    x = 60,046,061,929.38/281,755.90
  6. Step 6: Final answer
    x = 213,113.77

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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.