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Finding the Fourth Proportional to 189,199.80, 260,958.51 and 128,662.83

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Solution

The fourth proportional to 189,199.80, 260,958.51 and 128,662.83 is: 177,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,199.80 : 260,958.51 = 128,662.83 : x
  2. Step 2: Convert to fraction form
    189,199.80/260,958.51 = 128,662.83/x
  3. Step 3: Cross multiply
    189,199.80x = 260,958.51 × 128,662.83
  4. Step 4: Simplify right side
    189,199.80x = 33,575,660,409.18
  5. Step 5: Solve for x
    x = 33,575,660,409.18/189,199.80
  6. Step 6: Final answer
    x = 177,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.