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Finding the Fourth Proportional to 196,251.90, 294,419.70 and 112,052.40

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Solution

The fourth proportional to 196,251.90, 294,419.70 and 112,052.40 is: 168,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,251.90 : 294,419.70 = 112,052.40 : x
  2. Step 2: Convert to fraction form
    196,251.90/294,419.70 = 112,052.40/x
  3. Step 3: Cross multiply
    196,251.90x = 294,419.70 × 112,052.40
  4. Step 4: Simplify right side
    196,251.90x = 32,990,433,992.28
  5. Step 5: Solve for x
    x = 32,990,433,992.28/196,251.90
  6. Step 6: Final answer
    x = 168,102.49

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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.