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Finding the Fourth Proportional to 197,105.60, 295,658.40 and 157,739.60

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Solution

The fourth proportional to 197,105.60, 295,658.40 and 157,739.60 is: 236,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,105.60 : 295,658.40 = 157,739.60 : x
  2. Step 2: Convert to fraction form
    197,105.60/295,658.40 = 157,739.60/x
  3. Step 3: Cross multiply
    197,105.60x = 295,658.40 × 157,739.60
  4. Step 4: Simplify right side
    197,105.60x = 46,637,037,752.64
  5. Step 5: Solve for x
    x = 46,637,037,752.64/197,105.60
  6. Step 6: Final answer
    x = 236,609.40

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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.