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Finding the Fourth Proportional to 254,810.81, 382,216.29 and 74,896.27

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Solution

The fourth proportional to 254,810.81, 382,216.29 and 74,896.27 is: 112,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,810.81 : 382,216.29 = 74,896.27 : x
  2. Step 2: Convert to fraction form
    254,810.81/382,216.29 = 74,896.27/x
  3. Step 3: Cross multiply
    254,810.81x = 382,216.29 × 74,896.27
  4. Step 4: Simplify right side
    254,810.81x = 28,626,575,212.87
  5. Step 5: Solve for x
    x = 28,626,575,212.87/254,810.81
  6. Step 6: Final answer
    x = 112,344.43

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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.