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Finding the Fourth Proportional to 174,809.80, 262,409.10 and 96,077.80

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Solution

The fourth proportional to 174,809.80, 262,409.10 and 96,077.80 is: 144,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,809.80 : 262,409.10 = 96,077.80 : x
  2. Step 2: Convert to fraction form
    174,809.80/262,409.10 = 96,077.80/x
  3. Step 3: Cross multiply
    174,809.80x = 262,409.10 × 96,077.80
  4. Step 4: Simplify right side
    174,809.80x = 25,211,689,027.98
  5. Step 5: Solve for x
    x = 25,211,689,027.98/174,809.80
  6. Step 6: Final answer
    x = 144,223.54

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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.