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Finding the Fourth Proportional to 273,806.60, 410,771.10 and 96,319.40

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Solution

The fourth proportional to 273,806.60, 410,771.10 and 96,319.40 is: 144,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,806.60 : 410,771.10 = 96,319.40 : x
  2. Step 2: Convert to fraction form
    273,806.60/410,771.10 = 96,319.40/x
  3. Step 3: Cross multiply
    273,806.60x = 410,771.10 × 96,319.40
  4. Step 4: Simplify right side
    273,806.60x = 39,565,225,889.34
  5. Step 5: Solve for x
    x = 39,565,225,889.34/273,806.60
  6. Step 6: Final answer
    x = 144,500.63

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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.