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Finding the Fourth Proportional to 116,148.72, 160,297.32 and 65,175.21

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Solution

The fourth proportional to 116,148.72, 160,297.32 and 65,175.21 is: 89,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,148.72 : 160,297.32 = 65,175.21 : x
  2. Step 2: Convert to fraction form
    116,148.72/160,297.32 = 65,175.21/x
  3. Step 3: Cross multiply
    116,148.72x = 160,297.32 × 65,175.21
  4. Step 4: Simplify right side
    116,148.72x = 10,447,411,493.44
  5. Step 5: Solve for x
    x = 10,447,411,493.44/116,148.72
  6. Step 6: Final answer
    x = 89,948.57

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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.