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Finding the Fourth Proportional to 160,065.09, 240,097.64 and 54,884.97

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Solution

The fourth proportional to 160,065.09, 240,097.64 and 54,884.97 is: 82,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,065.09 : 240,097.64 = 54,884.97 : x
  2. Step 2: Convert to fraction form
    160,065.09/240,097.64 = 54,884.97/x
  3. Step 3: Cross multiply
    160,065.09x = 240,097.64 × 54,884.97
  4. Step 4: Simplify right side
    160,065.09x = 13,177,751,494.05
  5. Step 5: Solve for x
    x = 13,177,751,494.05/160,065.09
  6. Step 6: Final answer
    x = 82,327.46

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1.5x scale

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.