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Finding the Fourth Proportional to 196,803.40, 294,902.70 and 146,648.20

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Solution

The fourth proportional to 196,803.40, 294,902.70 and 146,648.20 is: 219,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,803.40 : 294,902.70 = 146,648.20 : x
  2. Step 2: Convert to fraction form
    196,803.40/294,902.70 = 146,648.20/x
  3. Step 3: Cross multiply
    196,803.40x = 294,902.70 × 146,648.20
  4. Step 4: Simplify right side
    196,803.40x = 43,246,950,130.14
  5. Step 5: Solve for x
    x = 43,246,950,130.14/196,803.40
  6. Step 6: Final answer
    x = 219,746.97

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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.