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Finding the Fourth Proportional to 271,573.29, 407,262.74 and 94,032.63

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Solution

The fourth proportional to 271,573.29, 407,262.74 and 94,032.63 is: 141,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,573.29 : 407,262.74 = 94,032.63 : x
  2. Step 2: Convert to fraction form
    271,573.29/407,262.74 = 94,032.63/x
  3. Step 3: Cross multiply
    271,573.29x = 407,262.74 × 94,032.63
  4. Step 4: Simplify right side
    271,573.29x = 38,295,986,073.04
  5. Step 5: Solve for x
    x = 38,295,986,073.04/271,573.29
  6. Step 6: Final answer
    x = 141,015.29

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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.