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Finding the Fourth Proportional to 157,029.85, 216,690.52 and 85,408.33

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Solution

The fourth proportional to 157,029.85, 216,690.52 and 85,408.33 is: 117,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,029.85 : 216,690.52 = 85,408.33 : x
  2. Step 2: Convert to fraction form
    157,029.85/216,690.52 = 85,408.33/x
  3. Step 3: Cross multiply
    157,029.85x = 216,690.52 × 85,408.33
  4. Step 4: Simplify right side
    157,029.85x = 18,507,175,440.03
  5. Step 5: Solve for x
    x = 18,507,175,440.03/157,029.85
  6. Step 6: Final answer
    x = 117,857.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.