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Finding the Fourth Proportional to 196,704.40, 295,202.40 and 144,216.40

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Solution

The fourth proportional to 196,704.40, 295,202.40 and 144,216.40 is: 216,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,704.40 : 295,202.40 = 144,216.40 : x
  2. Step 2: Convert to fraction form
    196,704.40/295,202.40 = 144,216.40/x
  3. Step 3: Cross multiply
    196,704.40x = 295,202.40 × 144,216.40
  4. Step 4: Simplify right side
    196,704.40x = 42,573,027,399.36
  5. Step 5: Solve for x
    x = 42,573,027,399.36/196,704.40
  6. Step 6: Final answer
    x = 216,431.50

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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.