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Finding the Fourth Proportional to 197,206.20, 295,809.30 and 97,414.20

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Solution

The fourth proportional to 197,206.20, 295,809.30 and 97,414.20 is: 146,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,206.20 : 295,809.30 = 97,414.20 : x
  2. Step 2: Convert to fraction form
    197,206.20/295,809.30 = 97,414.20/x
  3. Step 3: Cross multiply
    197,206.20x = 295,809.30 × 97,414.20
  4. Step 4: Simplify right side
    197,206.20x = 28,816,026,312.06
  5. Step 5: Solve for x
    x = 28,816,026,312.06/197,206.20
  6. Step 6: Final answer
    x = 146,121.30

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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.