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Finding the Fourth Proportional to 135,946, 203,962.34 and 57,039.04

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Solution

The fourth proportional to 135,946, 203,962.34 and 57,039.04 is: 85,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,946 : 203,962.34 = 57,039.04 : x
  2. Step 2: Convert to fraction form
    135,946/203,962.34 = 57,039.04/x
  3. Step 3: Cross multiply
    135,946x = 203,962.34 × 57,039.04
  4. Step 4: Simplify right side
    135,946x = 11,633,816,069.75
  5. Step 5: Solve for x
    x = 11,633,816,069.75/135,946
  6. Step 6: Final answer
    x = 85,576.74

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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.