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Finding the Fourth Proportional to 136,145.60, 204,412.80 and 106,596.80

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Solution

The fourth proportional to 136,145.60, 204,412.80 and 106,596.80 is: 160,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,145.60 : 204,412.80 = 106,596.80 : x
  2. Step 2: Convert to fraction form
    136,145.60/204,412.80 = 106,596.80/x
  3. Step 3: Cross multiply
    136,145.60x = 204,412.80 × 106,596.80
  4. Step 4: Simplify right side
    136,145.60x = 21,789,750,359.04
  5. Step 5: Solve for x
    x = 21,789,750,359.04/136,145.60
  6. Step 6: Final answer
    x = 160,047.41

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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.