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Finding the Fourth Proportional to 271,116.10, 406,382.55 and 102,571.30

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Solution

The fourth proportional to 271,116.10, 406,382.55 and 102,571.30 is: 153,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,116.10 : 406,382.55 = 102,571.30 : x
  2. Step 2: Convert to fraction form
    271,116.10/406,382.55 = 102,571.30/x
  3. Step 3: Cross multiply
    271,116.10x = 406,382.55 × 102,571.30
  4. Step 4: Simplify right side
    271,116.10x = 41,683,186,450.82
  5. Step 5: Solve for x
    x = 41,683,186,450.82/271,116.10
  6. Step 6: Final answer
    x = 153,746.63

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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.