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Finding the Fourth Proportional to 144,577.54, 199,493.20 and 90,824.49

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Solution

The fourth proportional to 144,577.54, 199,493.20 and 90,824.49 is: 125,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,577.54 : 199,493.20 = 90,824.49 : x
  2. Step 2: Convert to fraction form
    144,577.54/199,493.20 = 90,824.49/x
  3. Step 3: Cross multiply
    144,577.54x = 199,493.20 × 90,824.49
  4. Step 4: Simplify right side
    144,577.54x = 18,118,868,148.47
  5. Step 5: Solve for x
    x = 18,118,868,148.47/144,577.54
  6. Step 6: Final answer
    x = 125,322.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.