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Finding the Fourth Proportional to 254,493.60, 381,643.20 and 76,941.60

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Solution

The fourth proportional to 254,493.60, 381,643.20 and 76,941.60 is: 115,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,493.60 : 381,643.20 = 76,941.60 : x
  2. Step 2: Convert to fraction form
    254,493.60/381,643.20 = 76,941.60/x
  3. Step 3: Cross multiply
    254,493.60x = 381,643.20 × 76,941.60
  4. Step 4: Simplify right side
    254,493.60x = 29,364,238,437.12
  5. Step 5: Solve for x
    x = 29,364,238,437.12/254,493.60
  6. Step 6: Final answer
    x = 115,383.01

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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.