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Finding the Fourth Proportional to 254,650.74, 382,016.34 and 83,819.04

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Solution

The fourth proportional to 254,650.74, 382,016.34 and 83,819.04 is: 125,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,650.74 : 382,016.34 = 83,819.04 : x
  2. Step 2: Convert to fraction form
    254,650.74/382,016.34 = 83,819.04/x
  3. Step 3: Cross multiply
    254,650.74x = 382,016.34 × 83,819.04
  4. Step 4: Simplify right side
    254,650.74x = 32,020,242,883.11
  5. Step 5: Solve for x
    x = 32,020,242,883.11/254,650.74
  6. Step 6: Final answer
    x = 125,741.80

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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.