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Finding the Fourth Proportional to 116,441.63, 160,706.46 and 65,458.56

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Solution

The fourth proportional to 116,441.63, 160,706.46 and 65,458.56 is: 90,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,441.63 : 160,706.46 = 65,458.56 : x
  2. Step 2: Convert to fraction form
    116,441.63/160,706.46 = 65,458.56/x
  3. Step 3: Cross multiply
    116,441.63x = 160,706.46 × 65,458.56
  4. Step 4: Simplify right side
    116,441.63x = 10,519,613,454.30
  5. Step 5: Solve for x
    x = 10,519,613,454.30/116,441.63
  6. Step 6: Final answer
    x = 90,342.38

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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.