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Finding the Fourth Proportional to 144,594.82, 199,512.50 and 90,848.70

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Solution

The fourth proportional to 144,594.82, 199,512.50 and 90,848.70 is: 125,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,594.82 : 199,512.50 = 90,848.70 : x
  2. Step 2: Convert to fraction form
    144,594.82/199,512.50 = 90,848.70/x
  3. Step 3: Cross multiply
    144,594.82x = 199,512.50 × 90,848.70
  4. Step 4: Simplify right side
    144,594.82x = 18,125,451,258.75
  5. Step 5: Solve for x
    x = 18,125,451,258.75/144,594.82
  6. Step 6: Final answer
    x = 125,353.39

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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.