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Finding the Fourth Proportional to 196,259.20, 294,388.80 and 146,492.80

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Solution

The fourth proportional to 196,259.20, 294,388.80 and 146,492.80 is: 219,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,259.20 : 294,388.80 = 146,492.80 : x
  2. Step 2: Convert to fraction form
    196,259.20/294,388.80 = 146,492.80/x
  3. Step 3: Cross multiply
    196,259.20x = 294,388.80 × 146,492.80
  4. Step 4: Simplify right side
    196,259.20x = 43,125,839,600.64
  5. Step 5: Solve for x
    x = 43,125,839,600.64/196,259.20
  6. Step 6: Final answer
    x = 219,739.20

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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.