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Finding the Fourth Proportional to 254,698.24, 382,025.34 and 86,214.94

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Solution

The fourth proportional to 254,698.24, 382,025.34 and 86,214.94 is: 129,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,698.24 : 382,025.34 = 86,214.94 : x
  2. Step 2: Convert to fraction form
    254,698.24/382,025.34 = 86,214.94/x
  3. Step 3: Cross multiply
    254,698.24x = 382,025.34 × 86,214.94
  4. Step 4: Simplify right side
    254,698.24x = 32,936,291,766.58
  5. Step 5: Solve for x
    x = 32,936,291,766.58/254,698.24
  6. Step 6: Final answer
    x = 129,314.96

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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.