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Finding the Fourth Proportional to 271,603.71, 407,313.29 and 94,069.23

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Solution

The fourth proportional to 271,603.71, 407,313.29 and 94,069.23 is: 141,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,603.71 : 407,313.29 = 94,069.23 : x
  2. Step 2: Convert to fraction form
    271,603.71/407,313.29 = 94,069.23/x
  3. Step 3: Cross multiply
    271,603.71x = 407,313.29 × 94,069.23
  4. Step 4: Simplify right side
    271,603.71x = 38,315,647,088.72
  5. Step 5: Solve for x
    x = 38,315,647,088.72/271,603.71
  6. Step 6: Final answer
    x = 141,071.88

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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.