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Finding the Fourth Proportional to 342,714.24, 513,972.72 and 118,065.60

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Solution

The fourth proportional to 342,714.24, 513,972.72 and 118,065.60 is: 177,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,714.24 : 513,972.72 = 118,065.60 : x
  2. Step 2: Convert to fraction form
    342,714.24/513,972.72 = 118,065.60/x
  3. Step 3: Cross multiply
    342,714.24x = 513,972.72 × 118,065.60
  4. Step 4: Simplify right side
    342,714.24x = 60,682,497,570.43
  5. Step 5: Solve for x
    x = 60,682,497,570.43/342,714.24
  6. Step 6: Final answer
    x = 177,064.42

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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.