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Finding the Fourth Proportional to 342,023.20, 513,034.80 and 105,438.40

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Solution

The fourth proportional to 342,023.20, 513,034.80 and 105,438.40 is: 158,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,023.20 : 513,034.80 = 105,438.40 : x
  2. Step 2: Convert to fraction form
    342,023.20/513,034.80 = 105,438.40/x
  3. Step 3: Cross multiply
    342,023.20x = 513,034.80 × 105,438.40
  4. Step 4: Simplify right side
    342,023.20x = 54,093,568,456.32
  5. Step 5: Solve for x
    x = 54,093,568,456.32/342,023.20
  6. Step 6: Final answer
    x = 158,157.60

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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.