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Finding the Fourth Proportional to 116,509.36, 160,766.46 and 65,515

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Solution

The fourth proportional to 116,509.36, 160,766.46 and 65,515 is: 90,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,509.36 : 160,766.46 = 65,515 : x
  2. Step 2: Convert to fraction form
    116,509.36/160,766.46 = 65,515/x
  3. Step 3: Cross multiply
    116,509.36x = 160,766.46 × 65,515
  4. Step 4: Simplify right side
    116,509.36x = 10,532,614,626.90
  5. Step 5: Solve for x
    x = 10,532,614,626.90/116,509.36
  6. Step 6: Final answer
    x = 90,401.45

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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.