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Finding the Fourth Proportional to 235,669.72, 353,504.58 and 194,029.24

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Solution

The fourth proportional to 235,669.72, 353,504.58 and 194,029.24 is: 291,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,669.72 : 353,504.58 = 194,029.24 : x
  2. Step 2: Convert to fraction form
    235,669.72/353,504.58 = 194,029.24/x
  3. Step 3: Cross multiply
    235,669.72x = 353,504.58 × 194,029.24
  4. Step 4: Simplify right side
    235,669.72x = 68,590,224,993.92
  5. Step 5: Solve for x
    x = 68,590,224,993.92/235,669.72
  6. Step 6: Final answer
    x = 291,043.86

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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.