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Finding the Fourth Proportional to 189,765.72, 261,873 and 104,883.12

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Solution

The fourth proportional to 189,765.72, 261,873 and 104,883.12 is: 144,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,765.72 : 261,873 = 104,883.12 : x
  2. Step 2: Convert to fraction form
    189,765.72/261,873 = 104,883.12/x
  3. Step 3: Cross multiply
    189,765.72x = 261,873 × 104,883.12
  4. Step 4: Simplify right side
    189,765.72x = 27,466,057,283.76
  5. Step 5: Solve for x
    x = 27,466,057,283.76/189,765.72
  6. Step 6: Final answer
    x = 144,736.66

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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.