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Finding the Fourth Proportional to 273,977.40, 410,966.10 and 96,684.60

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Solution

The fourth proportional to 273,977.40, 410,966.10 and 96,684.60 is: 145,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,977.40 : 410,966.10 = 96,684.60 : x
  2. Step 2: Convert to fraction form
    273,977.40/410,966.10 = 96,684.60/x
  3. Step 3: Cross multiply
    273,977.40x = 410,966.10 × 96,684.60
  4. Step 4: Simplify right side
    273,977.40x = 39,734,092,992.06
  5. Step 5: Solve for x
    x = 39,734,092,992.06/273,977.40
  6. Step 6: Final answer
    x = 145,026.90

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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.