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Finding the Fourth Proportional to 98,268.84, 135,606.42 and 57,984.30

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Solution

The fourth proportional to 98,268.84, 135,606.42 and 57,984.30 is: 80,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,268.84 : 135,606.42 = 57,984.30 : x
  2. Step 2: Convert to fraction form
    98,268.84/135,606.42 = 57,984.30/x
  3. Step 3: Cross multiply
    98,268.84x = 135,606.42 × 57,984.30
  4. Step 4: Simplify right side
    98,268.84x = 7,863,043,339.21
  5. Step 5: Solve for x
    x = 7,863,043,339.21/98,268.84
  6. Step 6: Final answer
    x = 80,015.63

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1.5x scale

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.