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Finding the Fourth Proportional to 160,164.54, 240,268.88 and 54,969.84

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Solution

The fourth proportional to 160,164.54, 240,268.88 and 54,969.84 is: 82,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164.54 : 240,268.88 = 54,969.84 : x
  2. Step 2: Convert to fraction form
    160,164.54/240,268.88 = 54,969.84/x
  3. Step 3: Cross multiply
    160,164.54x = 240,268.88 × 54,969.84
  4. Step 4: Simplify right side
    160,164.54x = 13,207,542,028.00
  5. Step 5: Solve for x
    x = 13,207,542,028.00/160,164.54
  6. Step 6: Final answer
    x = 82,462.34

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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.