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Finding the Fourth Proportional to 116,175.90, 160,322.81 and 65,181.59

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Solution

The fourth proportional to 116,175.90, 160,322.81 and 65,181.59 is: 89,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,175.90 : 160,322.81 = 65,181.59 : x
  2. Step 2: Convert to fraction form
    116,175.90/160,322.81 = 65,181.59/x
  3. Step 3: Cross multiply
    116,175.90x = 160,322.81 × 65,181.59
  4. Step 4: Simplify right side
    116,175.90x = 10,450,094,541.55
  5. Step 5: Solve for x
    x = 10,450,094,541.55/116,175.90
  6. Step 6: Final answer
    x = 89,950.62

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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.