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Finding the Fourth Proportional to 230,770.34, 318,462.90 and 130,168.34

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Solution

The fourth proportional to 230,770.34, 318,462.90 and 130,168.34 is: 179,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,770.34 : 318,462.90 = 130,168.34 : x
  2. Step 2: Convert to fraction form
    230,770.34/318,462.90 = 130,168.34/x
  3. Step 3: Cross multiply
    230,770.34x = 318,462.90 × 130,168.34
  4. Step 4: Simplify right side
    230,770.34x = 41,453,787,044.59
  5. Step 5: Solve for x
    x = 41,453,787,044.59/230,770.34
  6. Step 6: Final answer
    x = 179,632.21

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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.