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Finding the Fourth Proportional to 157,362.42, 217,162.62 and 85,742.44

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Solution

The fourth proportional to 157,362.42, 217,162.62 and 85,742.44 is: 118,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362.42 : 217,162.62 = 85,742.44 : x
  2. Step 2: Convert to fraction form
    157,362.42/217,162.62 = 85,742.44/x
  3. Step 3: Cross multiply
    157,362.42x = 217,162.62 × 85,742.44
  4. Step 4: Simplify right side
    157,362.42x = 18,620,052,915.59
  5. Step 5: Solve for x
    x = 18,620,052,915.59/157,362.42
  6. Step 6: Final answer
    x = 118,325.92

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Why These Related Problems?

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