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Finding the Fourth Proportional to 271,058.40, 406,733.40 and 113,302.80

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Solution

The fourth proportional to 271,058.40, 406,733.40 and 113,302.80 is: 170,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,058.40 : 406,733.40 = 113,302.80 : x
  2. Step 2: Convert to fraction form
    271,058.40/406,733.40 = 113,302.80/x
  3. Step 3: Cross multiply
    271,058.40x = 406,733.40 × 113,302.80
  4. Step 4: Simplify right side
    271,058.40x = 46,084,033,073.52
  5. Step 5: Solve for x
    x = 46,084,033,073.52/271,058.40
  6. Step 6: Final answer
    x = 170,015.14

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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.