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Finding the Fourth Proportional to 196,490.40, 294,433.20 and 146,335.20

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Solution

The fourth proportional to 196,490.40, 294,433.20 and 146,335.20 is: 219,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,490.40 : 294,433.20 = 146,335.20 : x
  2. Step 2: Convert to fraction form
    196,490.40/294,433.20 = 146,335.20/x
  3. Step 3: Cross multiply
    196,490.40x = 294,433.20 × 146,335.20
  4. Step 4: Simplify right side
    196,490.40x = 43,085,941,208.64
  5. Step 5: Solve for x
    x = 43,085,941,208.64/196,490.40
  6. Step 6: Final answer
    x = 219,277.59

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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.