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Finding the Fourth Proportional to 196,215, 294,325.32 and 55,973.64

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Solution

The fourth proportional to 196,215, 294,325.32 and 55,973.64 is: 83,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,215 : 294,325.32 = 55,973.64 : x
  2. Step 2: Convert to fraction form
    196,215/294,325.32 = 55,973.64/x
  3. Step 3: Cross multiply
    196,215x = 294,325.32 × 55,973.64
  4. Step 4: Simplify right side
    196,215x = 16,474,459,504.56
  5. Step 5: Solve for x
    x = 16,474,459,504.56/196,215
  6. Step 6: Final answer
    x = 83,961.26

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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.