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Finding the Fourth Proportional to 113,825.80, 170,738.70 and 54,647.20

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Solution

The fourth proportional to 113,825.80, 170,738.70 and 54,647.20 is: 81,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,825.80 : 170,738.70 = 54,647.20 : x
  2. Step 2: Convert to fraction form
    113,825.80/170,738.70 = 54,647.20/x
  3. Step 3: Cross multiply
    113,825.80x = 170,738.70 × 54,647.20
  4. Step 4: Simplify right side
    113,825.80x = 9,330,391,886.64
  5. Step 5: Solve for x
    x = 9,330,391,886.64/113,825.80
  6. Step 6: Final answer
    x = 81,970.80

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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.