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Finding the Fourth Proportional to 171,197.16, 256,656.56 and 71,431.67

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Solution

The fourth proportional to 171,197.16, 256,656.56 and 71,431.67 is: 107,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,197.16 : 256,656.56 = 71,431.67 : x
  2. Step 2: Convert to fraction form
    171,197.16/256,656.56 = 71,431.67/x
  3. Step 3: Cross multiply
    171,197.16x = 256,656.56 × 71,431.67
  4. Step 4: Simplify right side
    171,197.16x = 18,333,405,056.81
  5. Step 5: Solve for x
    x = 18,333,405,056.81/171,197.16
  6. Step 6: Final answer
    x = 107,089.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.