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Finding the Fourth Proportional to 286,778.21, 395,751.53 and 159,452.69

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Solution

The fourth proportional to 286,778.21, 395,751.53 and 159,452.69 is: 220,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,778.21 : 395,751.53 = 159,452.69 : x
  2. Step 2: Convert to fraction form
    286,778.21/395,751.53 = 159,452.69/x
  3. Step 3: Cross multiply
    286,778.21x = 395,751.53 × 159,452.69
  4. Step 4: Simplify right side
    286,778.21x = 63,103,646,030.12
  5. Step 5: Solve for x
    x = 63,103,646,030.12/286,778.21
  6. Step 6: Final answer
    x = 220,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.