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Finding the Fourth Proportional to 219,886.40, 329,829.60 and 194,954.60

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Solution

The fourth proportional to 219,886.40, 329,829.60 and 194,954.60 is: 292,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,886.40 : 329,829.60 = 194,954.60 : x
  2. Step 2: Convert to fraction form
    219,886.40/329,829.60 = 194,954.60/x
  3. Step 3: Cross multiply
    219,886.40x = 329,829.60 × 194,954.60
  4. Step 4: Simplify right side
    219,886.40x = 64,301,797,736.16
  5. Step 5: Solve for x
    x = 64,301,797,736.16/219,886.40
  6. Step 6: Final answer
    x = 292,431.90

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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.