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Finding the Fourth Proportional to 254,539.44, 381,746.16 and 86,056.02

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Solution

The fourth proportional to 254,539.44, 381,746.16 and 86,056.02 is: 129,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,539.44 : 381,746.16 = 86,056.02 : x
  2. Step 2: Convert to fraction form
    254,539.44/381,746.16 = 86,056.02/x
  3. Step 3: Cross multiply
    254,539.44x = 381,746.16 × 86,056.02
  4. Step 4: Simplify right side
    254,539.44x = 32,851,555,179.88
  5. Step 5: Solve for x
    x = 32,851,555,179.88/254,539.44
  6. Step 6: Final answer
    x = 129,062.73

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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.