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Finding the Fourth Proportional to 120,483.54, 180,687.95 and 96,735.15

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Solution

The fourth proportional to 120,483.54, 180,687.95 and 96,735.15 is: 145,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,483.54 : 180,687.95 = 96,735.15 : x
  2. Step 2: Convert to fraction form
    120,483.54/180,687.95 = 96,735.15/x
  3. Step 3: Cross multiply
    120,483.54x = 180,687.95 × 96,735.15
  4. Step 4: Simplify right side
    120,483.54x = 17,478,875,825.52
  5. Step 5: Solve for x
    x = 17,478,875,825.52/120,483.54
  6. Step 6: Final answer
    x = 145,072.73

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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.