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Finding the Fourth Proportional to 242,751.57, 363,873.40 and 82,771.42

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Solution

The fourth proportional to 242,751.57, 363,873.40 and 82,771.42 is: 124,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,751.57 : 363,873.40 = 82,771.42 : x
  2. Step 2: Convert to fraction form
    242,751.57/363,873.40 = 82,771.42/x
  3. Step 3: Cross multiply
    242,751.57x = 363,873.40 × 82,771.42
  4. Step 4: Simplify right side
    242,751.57x = 30,118,317,933.07
  5. Step 5: Solve for x
    x = 30,118,317,933.07/242,751.57
  6. Step 6: Final answer
    x = 124,070.54

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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.