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Finding the Fourth Proportional to 115,980.80, 173,971.20 and 53,772.80

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Solution

The fourth proportional to 115,980.80, 173,971.20 and 53,772.80 is: 80,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,980.80 : 173,971.20 = 53,772.80 : x
  2. Step 2: Convert to fraction form
    115,980.80/173,971.20 = 53,772.80/x
  3. Step 3: Cross multiply
    115,980.80x = 173,971.20 × 53,772.80
  4. Step 4: Simplify right side
    115,980.80x = 9,354,918,543.36
  5. Step 5: Solve for x
    x = 9,354,918,543.36/115,980.80
  6. Step 6: Final answer
    x = 80,659.20

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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.