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Finding the Fourth Proportional to 153,886.60, 230,933.34 and 54,047.56

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Solution

The fourth proportional to 153,886.60, 230,933.34 and 54,047.56 is: 81,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.60 : 230,933.34 = 54,047.56 : x
  2. Step 2: Convert to fraction form
    153,886.60/230,933.34 = 54,047.56/x
  3. Step 3: Cross multiply
    153,886.60x = 230,933.34 × 54,047.56
  4. Step 4: Simplify right side
    153,886.60x = 12,481,383,549.65
  5. Step 5: Solve for x
    x = 12,481,383,549.65/153,886.60
  6. Step 6: Final answer
    x = 81,107.67

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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.