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Finding the Fourth Proportional to 196,872.40, 271,683.84 and 107,448.40

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Solution

The fourth proportional to 196,872.40, 271,683.84 and 107,448.40 is: 148,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,872.40 : 271,683.84 = 107,448.40 : x
  2. Step 2: Convert to fraction form
    196,872.40/271,683.84 = 107,448.40/x
  3. Step 3: Cross multiply
    196,872.40x = 271,683.84 × 107,448.40
  4. Step 4: Simplify right side
    196,872.40x = 29,191,993,913.86
  5. Step 5: Solve for x
    x = 29,191,993,913.86/196,872.40
  6. Step 6: Final answer
    x = 148,278.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.