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Finding the Fourth Proportional to 189,336.45, 260,977.67 and 164,744.32

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Solution

The fourth proportional to 189,336.45, 260,977.67 and 164,744.32 is: 227,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,336.45 : 260,977.67 = 164,744.32 : x
  2. Step 2: Convert to fraction form
    189,336.45/260,977.67 = 164,744.32/x
  3. Step 3: Cross multiply
    189,336.45x = 260,977.67 × 164,744.32
  4. Step 4: Simplify right side
    189,336.45x = 42,994,588,506.64
  5. Step 5: Solve for x
    x = 42,994,588,506.64/189,336.45
  6. Step 6: Final answer
    x = 227,080.36

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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.