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Finding the Fourth Proportional to 116,213.76, 160,367.04 and 65,220.48

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Solution

The fourth proportional to 116,213.76, 160,367.04 and 65,220.48 is: 89,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,213.76 : 160,367.04 = 65,220.48 : x
  2. Step 2: Convert to fraction form
    116,213.76/160,367.04 = 65,220.48/x
  3. Step 3: Cross multiply
    116,213.76x = 160,367.04 × 65,220.48
  4. Step 4: Simplify right side
    116,213.76x = 10,459,215,324.98
  5. Step 5: Solve for x
    x = 10,459,215,324.98/116,213.76
  6. Step 6: Final answer
    x = 89,999.80

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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.