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Finding the Fourth Proportional to 189,954.75, 285,030.54 and 96,460.50

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Solution

The fourth proportional to 189,954.75, 285,030.54 and 96,460.50 is: 144,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,954.75 : 285,030.54 = 96,460.50 : x
  2. Step 2: Convert to fraction form
    189,954.75/285,030.54 = 96,460.50/x
  3. Step 3: Cross multiply
    189,954.75x = 285,030.54 × 96,460.50
  4. Step 4: Simplify right side
    189,954.75x = 27,494,188,403.67
  5. Step 5: Solve for x
    x = 27,494,188,403.67/189,954.75
  6. Step 6: Final answer
    x = 144,740.73

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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.