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Finding the Fourth Proportional to 189,464.80, 261,461.38 and 104,581.84

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Solution

The fourth proportional to 189,464.80, 261,461.38 and 104,581.84 is: 144,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,464.80 : 261,461.38 = 104,581.84 : x
  2. Step 2: Convert to fraction form
    189,464.80/261,461.38 = 104,581.84/x
  3. Step 3: Cross multiply
    189,464.80x = 261,461.38 × 104,581.84
  4. Step 4: Simplify right side
    189,464.80x = 27,344,110,379.12
  5. Step 5: Solve for x
    x = 27,344,110,379.12/189,464.80
  6. Step 6: Final answer
    x = 144,322.91

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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.