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Finding the Fourth Proportional to 113,107.20, 169,660.80 and 65,803.20

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Solution

The fourth proportional to 113,107.20, 169,660.80 and 65,803.20 is: 98,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,107.20 : 169,660.80 = 65,803.20 : x
  2. Step 2: Convert to fraction form
    113,107.20/169,660.80 = 65,803.20/x
  3. Step 3: Cross multiply
    113,107.20x = 169,660.80 × 65,803.20
  4. Step 4: Simplify right side
    113,107.20x = 11,164,223,554.56
  5. Step 5: Solve for x
    x = 11,164,223,554.56/113,107.20
  6. Step 6: Final answer
    x = 98,704.80

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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.