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Finding the Fourth Proportional to 174,952.80, 262,623.60 and 96,220.80

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Solution

The fourth proportional to 174,952.80, 262,623.60 and 96,220.80 is: 144,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,952.80 : 262,623.60 = 96,220.80 : x
  2. Step 2: Convert to fraction form
    174,952.80/262,623.60 = 96,220.80/x
  3. Step 3: Cross multiply
    174,952.80x = 262,623.60 × 96,220.80
  4. Step 4: Simplify right side
    174,952.80x = 25,269,852,890.88
  5. Step 5: Solve for x
    x = 25,269,852,890.88/174,952.80
  6. Step 6: Final answer
    x = 144,438.12

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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.