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Finding the Fourth Proportional to 254,710.86, 381,970.91 and 74,759.24

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Solution

The fourth proportional to 254,710.86, 381,970.91 and 74,759.24 is: 112,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,710.86 : 381,970.91 = 74,759.24 : x
  2. Step 2: Convert to fraction form
    254,710.86/381,970.91 = 74,759.24/x
  3. Step 3: Cross multiply
    254,710.86x = 381,970.91 × 74,759.24
  4. Step 4: Simplify right side
    254,710.86x = 28,555,852,650.06
  5. Step 5: Solve for x
    x = 28,555,852,650.06/254,710.86
  6. Step 6: Final answer
    x = 112,110.86

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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.