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Finding the Fourth Proportional to 254,963.28, 382,468.91 and 75,048.81

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Solution

The fourth proportional to 254,963.28, 382,468.91 and 75,048.81 is: 112,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,963.28 : 382,468.91 = 75,048.81 : x
  2. Step 2: Convert to fraction form
    254,963.28/382,468.91 = 75,048.81/x
  3. Step 3: Cross multiply
    254,963.28x = 382,468.91 × 75,048.81
  4. Step 4: Simplify right side
    254,963.28x = 28,703,836,557.50
  5. Step 5: Solve for x
    x = 28,703,836,557.50/254,963.28
  6. Step 6: Final answer
    x = 112,580.28

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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.