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Finding the Fourth Proportional to 116,771.32, 161,144.91 and 65,784.66

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Solution

The fourth proportional to 116,771.32, 161,144.91 and 65,784.66 is: 90,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,771.32 : 161,144.91 = 65,784.66 : x
  2. Step 2: Convert to fraction form
    116,771.32/161,144.91 = 65,784.66/x
  3. Step 3: Cross multiply
    116,771.32x = 161,144.91 × 65,784.66
  4. Step 4: Simplify right side
    116,771.32x = 10,600,863,413.41
  5. Step 5: Solve for x
    x = 10,600,863,413.41/116,771.32
  6. Step 6: Final answer
    x = 90,783.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.