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Finding the Fourth Proportional to 116,101, 160,219.38 and 65,803.24

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Solution

The fourth proportional to 116,101, 160,219.38 and 65,803.24 is: 90,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,101 : 160,219.38 = 65,803.24 : x
  2. Step 2: Convert to fraction form
    116,101/160,219.38 = 65,803.24/x
  3. Step 3: Cross multiply
    116,101x = 160,219.38 × 65,803.24
  4. Step 4: Simplify right side
    116,101x = 10,542,954,314.79
  5. Step 5: Solve for x
    x = 10,542,954,314.79/116,101
  6. Step 6: Final answer
    x = 90,808.47

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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.