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Finding the Fourth Proportional to 101,407.20, 152,096.40 and 34,850.40

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Solution

The fourth proportional to 101,407.20, 152,096.40 and 34,850.40 is: 52,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,407.20 : 152,096.40 = 34,850.40 : x
  2. Step 2: Convert to fraction form
    101,407.20/152,096.40 = 34,850.40/x
  3. Step 3: Cross multiply
    101,407.20x = 152,096.40 × 34,850.40
  4. Step 4: Simplify right side
    101,407.20x = 5,300,620,378.56
  5. Step 5: Solve for x
    x = 5,300,620,378.56/101,407.20
  6. Step 6: Final answer
    x = 52,270.65

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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.