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Finding the Fourth Proportional to 254,532.60, 381,701.70 and 76,980.60

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Solution

The fourth proportional to 254,532.60, 381,701.70 and 76,980.60 is: 115,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,532.60 : 381,701.70 = 76,980.60 : x
  2. Step 2: Convert to fraction form
    254,532.60/381,701.70 = 76,980.60/x
  3. Step 3: Cross multiply
    254,532.60x = 381,701.70 × 76,980.60
  4. Step 4: Simplify right side
    254,532.60x = 29,383,625,887.02
  5. Step 5: Solve for x
    x = 29,383,625,887.02/254,532.60
  6. Step 6: Final answer
    x = 115,441.50

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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.