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Finding the Fourth Proportional to 254,856.64, 382,129.44 and 105,050.56

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Solution

The fourth proportional to 254,856.64, 382,129.44 and 105,050.56 is: 157,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,856.64 : 382,129.44 = 105,050.56 : x
  2. Step 2: Convert to fraction form
    254,856.64/382,129.44 = 105,050.56/x
  3. Step 3: Cross multiply
    254,856.64x = 382,129.44 × 105,050.56
  4. Step 4: Simplify right side
    254,856.64x = 40,142,911,664.49
  5. Step 5: Solve for x
    x = 40,142,911,664.49/254,856.64
  6. Step 6: Final answer
    x = 157,511.74

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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.