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Finding the Fourth Proportional to 271,474.50, 406,969.76 and 103,113.05

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Solution

The fourth proportional to 271,474.50, 406,969.76 and 103,113.05 is: 154,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,474.50 : 406,969.76 = 103,113.05 : x
  2. Step 2: Convert to fraction form
    271,474.50/406,969.76 = 103,113.05/x
  3. Step 3: Cross multiply
    271,474.50x = 406,969.76 × 103,113.05
  4. Step 4: Simplify right side
    271,474.50x = 41,963,893,211.37
  5. Step 5: Solve for x
    x = 41,963,893,211.37/271,474.50
  6. Step 6: Final answer
    x = 154,577.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.