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Finding the Fourth Proportional to 254,932.28, 382,303.42 and 74,969.52

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Solution

The fourth proportional to 254,932.28, 382,303.42 and 74,969.52 is: 112,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,932.28 : 382,303.42 = 74,969.52 : x
  2. Step 2: Convert to fraction form
    254,932.28/382,303.42 = 74,969.52/x
  3. Step 3: Cross multiply
    254,932.28x = 382,303.42 × 74,969.52
  4. Step 4: Simplify right side
    254,932.28x = 28,661,103,891.76
  5. Step 5: Solve for x
    x = 28,661,103,891.76/254,932.28
  6. Step 6: Final answer
    x = 112,426.34

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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.