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Finding the Fourth Proportional to 254,651.74, 382,017.84 and 83,820.04

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Solution

The fourth proportional to 254,651.74, 382,017.84 and 83,820.04 is: 125,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,651.74 : 382,017.84 = 83,820.04 : x
  2. Step 2: Convert to fraction form
    254,651.74/382,017.84 = 83,820.04/x
  3. Step 3: Cross multiply
    254,651.74x = 382,017.84 × 83,820.04
  4. Step 4: Simplify right side
    254,651.74x = 32,020,750,629.51
  5. Step 5: Solve for x
    x = 32,020,750,629.51/254,651.74
  6. Step 6: Final answer
    x = 125,743.30

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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.