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Finding the Fourth Proportional to 116,212.80, 174,319.20 and 96,529.80

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Solution

The fourth proportional to 116,212.80, 174,319.20 and 96,529.80 is: 144,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,212.80 : 174,319.20 = 96,529.80 : x
  2. Step 2: Convert to fraction form
    116,212.80/174,319.20 = 96,529.80/x
  3. Step 3: Cross multiply
    116,212.80x = 174,319.20 × 96,529.80
  4. Step 4: Simplify right side
    116,212.80x = 16,826,997,512.16
  5. Step 5: Solve for x
    x = 16,826,997,512.16/116,212.80
  6. Step 6: Final answer
    x = 144,794.70

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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.