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Finding the Fourth Proportional to 273,702.56, 410,509.22 and 96,168.11

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Solution

The fourth proportional to 273,702.56, 410,509.22 and 96,168.11 is: 144,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,702.56 : 410,509.22 = 96,168.11 : x
  2. Step 2: Convert to fraction form
    273,702.56/410,509.22 = 96,168.11/x
  3. Step 3: Cross multiply
    273,702.56x = 410,509.22 × 96,168.11
  4. Step 4: Simplify right side
    273,702.56x = 39,477,893,291.59
  5. Step 5: Solve for x
    x = 39,477,893,291.59/273,702.56
  6. Step 6: Final answer
    x = 144,236.48

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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.