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Finding the Fourth Proportional to 116,188.72, 160,334.76 and 65,878

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Solution

The fourth proportional to 116,188.72, 160,334.76 and 65,878 is: 90,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188.72 : 160,334.76 = 65,878 : x
  2. Step 2: Convert to fraction form
    116,188.72/160,334.76 = 65,878/x
  3. Step 3: Cross multiply
    116,188.72x = 160,334.76 × 65,878
  4. Step 4: Simplify right side
    116,188.72x = 10,562,533,319.28
  5. Step 5: Solve for x
    x = 10,562,533,319.28/116,188.72
  6. Step 6: Final answer
    x = 90,908.42

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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.