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Finding the Fourth Proportional to 254,953.54, 382,375.63 and 105,154.98

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Solution

The fourth proportional to 254,953.54, 382,375.63 and 105,154.98 is: 157,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,953.54 : 382,375.63 = 105,154.98 : x
  2. Step 2: Convert to fraction form
    254,953.54/382,375.63 = 105,154.98/x
  3. Step 3: Cross multiply
    254,953.54x = 382,375.63 × 105,154.98
  4. Step 4: Simplify right side
    254,953.54x = 40,208,701,725.14
  5. Step 5: Solve for x
    x = 40,208,701,725.14/254,953.54
  6. Step 6: Final answer
    x = 157,709.92

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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.