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Finding the Fourth Proportional to 116,027.46, 160,116.60 and 65,048.49

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Solution

The fourth proportional to 116,027.46, 160,116.60 and 65,048.49 is: 89,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,027.46 : 160,116.60 = 65,048.49 : x
  2. Step 2: Convert to fraction form
    116,027.46/160,116.60 = 65,048.49/x
  3. Step 3: Cross multiply
    116,027.46x = 160,116.60 × 65,048.49
  4. Step 4: Simplify right side
    116,027.46x = 10,415,343,053.93
  5. Step 5: Solve for x
    x = 10,415,343,053.93/116,027.46
  6. Step 6: Final answer
    x = 89,766.19

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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.