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Finding the Fourth Proportional to 254,894.26, 382,275.78 and 105,177.10

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Solution

The fourth proportional to 254,894.26, 382,275.78 and 105,177.10 is: 157,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,894.26 : 382,275.78 = 105,177.10 : x
  2. Step 2: Convert to fraction form
    254,894.26/382,275.78 = 105,177.10/x
  3. Step 3: Cross multiply
    254,894.26x = 382,275.78 × 105,177.10
  4. Step 4: Simplify right side
    254,894.26x = 40,206,657,940.64
  5. Step 5: Solve for x
    x = 40,206,657,940.64/254,894.26
  6. Step 6: Final answer
    x = 157,738.58

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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.