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Finding the Fourth Proportional to 274,025.60, 410,941.20 and 96,538.40

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Solution

The fourth proportional to 274,025.60, 410,941.20 and 96,538.40 is: 144,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,025.60 : 410,941.20 = 96,538.40 : x
  2. Step 2: Convert to fraction form
    274,025.60/410,941.20 = 96,538.40/x
  3. Step 3: Cross multiply
    274,025.60x = 410,941.20 × 96,538.40
  4. Step 4: Simplify right side
    274,025.60x = 39,671,605,942.08
  5. Step 5: Solve for x
    x = 39,671,605,942.08/274,025.60
  6. Step 6: Final answer
    x = 144,773.36

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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.