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Finding the Fourth Proportional to 254,192.58, 380,824.13 and 119,008.64

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Solution

The fourth proportional to 254,192.58, 380,824.13 and 119,008.64 is: 178,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,192.58 : 380,824.13 = 119,008.64 : x
  2. Step 2: Convert to fraction form
    254,192.58/380,824.13 = 119,008.64/x
  3. Step 3: Cross multiply
    254,192.58x = 380,824.13 × 119,008.64
  4. Step 4: Simplify right side
    254,192.58x = 45,321,363,040.07
  5. Step 5: Solve for x
    x = 45,321,363,040.07/254,192.58
  6. Step 6: Final answer
    x = 178,295.38

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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.