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Finding the Fourth Proportional to 157,017.94, 216,682.64 and 85,396.42

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Solution

The fourth proportional to 157,017.94, 216,682.64 and 85,396.42 is: 117,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,017.94 : 216,682.64 = 85,396.42 : x
  2. Step 2: Convert to fraction form
    157,017.94/216,682.64 = 85,396.42/x
  3. Step 3: Cross multiply
    157,017.94x = 216,682.64 × 85,396.42
  4. Step 4: Simplify right side
    157,017.94x = 18,503,921,732.15
  5. Step 5: Solve for x
    x = 18,503,921,732.15/157,017.94
  6. Step 6: Final answer
    x = 117,845.91

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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.