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Finding the Fourth Proportional to 135,706.20, 203,559.30 and 100,714.20

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Solution

The fourth proportional to 135,706.20, 203,559.30 and 100,714.20 is: 151,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.20 : 203,559.30 = 100,714.20 : x
  2. Step 2: Convert to fraction form
    135,706.20/203,559.30 = 100,714.20/x
  3. Step 3: Cross multiply
    135,706.20x = 203,559.30 × 100,714.20
  4. Step 4: Simplify right side
    135,706.20x = 20,501,312,052.06
  5. Step 5: Solve for x
    x = 20,501,312,052.06/135,706.20
  6. Step 6: Final answer
    x = 151,071.30

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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.