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Finding the Fourth Proportional to 157,408.80, 236,113.20 and 141,079.20

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Solution

The fourth proportional to 157,408.80, 236,113.20 and 141,079.20 is: 211,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.80 : 236,113.20 = 141,079.20 : x
  2. Step 2: Convert to fraction form
    157,408.80/236,113.20 = 141,079.20/x
  3. Step 3: Cross multiply
    157,408.80x = 236,113.20 × 141,079.20
  4. Step 4: Simplify right side
    157,408.80x = 33,310,661,365.44
  5. Step 5: Solve for x
    x = 33,310,661,365.44/157,408.80
  6. Step 6: Final answer
    x = 211,618.80

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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.