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Finding the Fourth Proportional to 160,993.75, 241,482.84 and 61,146.15

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Solution

The fourth proportional to 160,993.75, 241,482.84 and 61,146.15 is: 91,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,993.75 : 241,482.84 = 61,146.15 : x
  2. Step 2: Convert to fraction form
    160,993.75/241,482.84 = 61,146.15/x
  3. Step 3: Cross multiply
    160,993.75x = 241,482.84 × 61,146.15
  4. Step 4: Simplify right side
    160,993.75x = 14,765,745,957.07
  5. Step 5: Solve for x
    x = 14,765,745,957.07/160,993.75
  6. Step 6: Final answer
    x = 91,716.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.