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Finding the Fourth Proportional to 111,431.60, 167,295.72 and 64,718

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Solution

The fourth proportional to 111,431.60, 167,295.72 and 64,718 is: 97,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,431.60 : 167,295.72 = 64,718 : x
  2. Step 2: Convert to fraction form
    111,431.60/167,295.72 = 64,718/x
  3. Step 3: Cross multiply
    111,431.60x = 167,295.72 × 64,718
  4. Step 4: Simplify right side
    111,431.60x = 10,827,044,406.96
  5. Step 5: Solve for x
    x = 10,827,044,406.96/111,431.60
  6. Step 6: Final answer
    x = 97,163.14

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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.