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Finding the Fourth Proportional to 189,722.88, 261,819 and 104,854.32

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Solution

The fourth proportional to 189,722.88, 261,819 and 104,854.32 is: 144,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722.88 : 261,819 = 104,854.32 : x
  2. Step 2: Convert to fraction form
    189,722.88/261,819 = 104,854.32/x
  3. Step 3: Cross multiply
    189,722.88x = 261,819 × 104,854.32
  4. Step 4: Simplify right side
    189,722.88x = 27,452,853,208.08
  5. Step 5: Solve for x
    x = 27,452,853,208.08/189,722.88
  6. Step 6: Final answer
    x = 144,699.75

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1.5x scale

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.