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Finding the Fourth Proportional to 197,122.40, 295,735.44 and 102,358.88

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Solution

The fourth proportional to 197,122.40, 295,735.44 and 102,358.88 is: 153,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,122.40 : 295,735.44 = 102,358.88 : x
  2. Step 2: Convert to fraction form
    197,122.40/295,735.44 = 102,358.88/x
  3. Step 3: Cross multiply
    197,122.40x = 295,735.44 × 102,358.88
  4. Step 4: Simplify right side
    197,122.40x = 30,271,148,414.71
  5. Step 5: Solve for x
    x = 30,271,148,414.71/197,122.40
  6. Step 6: Final answer
    x = 153,565.24

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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.