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Finding the Fourth Proportional to 196,504.40, 294,454.20 and 146,349.20

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Solution

The fourth proportional to 196,504.40, 294,454.20 and 146,349.20 is: 219,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,504.40 : 294,454.20 = 146,349.20 : x
  2. Step 2: Convert to fraction form
    196,504.40/294,454.20 = 146,349.20/x
  3. Step 3: Cross multiply
    196,504.40x = 294,454.20 × 146,349.20
  4. Step 4: Simplify right side
    196,504.40x = 43,093,136,606.64
  5. Step 5: Solve for x
    x = 43,093,136,606.64/196,504.40
  6. Step 6: Final answer
    x = 219,298.58

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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.