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Finding the Fourth Proportional to 128,941.80, 193,412.70 and 106,780.20

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Solution

The fourth proportional to 128,941.80, 193,412.70 and 106,780.20 is: 160,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,941.80 : 193,412.70 = 106,780.20 : x
  2. Step 2: Convert to fraction form
    128,941.80/193,412.70 = 106,780.20/x
  3. Step 3: Cross multiply
    128,941.80x = 193,412.70 × 106,780.20
  4. Step 4: Simplify right side
    128,941.80x = 20,652,646,788.54
  5. Step 5: Solve for x
    x = 20,652,646,788.54/128,941.80
  6. Step 6: Final answer
    x = 160,170.30

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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.