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Finding the Fourth Proportional to 116,217.34, 174,325.64 and 65,593.42

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Solution

The fourth proportional to 116,217.34, 174,325.64 and 65,593.42 is: 98,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,217.34 : 174,325.64 = 65,593.42 : x
  2. Step 2: Convert to fraction form
    116,217.34/174,325.64 = 65,593.42/x
  3. Step 3: Cross multiply
    116,217.34x = 174,325.64 × 65,593.42
  4. Step 4: Simplify right side
    116,217.34x = 11,434,614,157.51
  5. Step 5: Solve for x
    x = 11,434,614,157.51/116,217.34
  6. Step 6: Final answer
    x = 98,389.92

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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.