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Finding the Fourth Proportional to 213,846.58, 295,121.98 and 123,200.90

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Solution

The fourth proportional to 213,846.58, 295,121.98 and 123,200.90 is: 170,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.58 : 295,121.98 = 123,200.90 : x
  2. Step 2: Convert to fraction form
    213,846.58/295,121.98 = 123,200.90/x
  3. Step 3: Cross multiply
    213,846.58x = 295,121.98 × 123,200.90
  4. Step 4: Simplify right side
    213,846.58x = 36,359,293,330.88
  5. Step 5: Solve for x
    x = 36,359,293,330.88/213,846.58
  6. Step 6: Final answer
    x = 170,025.13

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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.