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Finding the Fourth Proportional to 196,269.40, 294,101.70 and 146,114.20

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Solution

The fourth proportional to 196,269.40, 294,101.70 and 146,114.20 is: 218,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,269.40 : 294,101.70 = 146,114.20 : x
  2. Step 2: Convert to fraction form
    196,269.40/294,101.70 = 146,114.20/x
  3. Step 3: Cross multiply
    196,269.40x = 294,101.70 × 146,114.20
  4. Step 4: Simplify right side
    196,269.40x = 42,972,434,614.14
  5. Step 5: Solve for x
    x = 42,972,434,614.14/196,269.40
  6. Step 6: Final answer
    x = 218,946.18

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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.