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Finding the Fourth Proportional to 189,814.32, 261,959.40 and 104,947.92

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Solution

The fourth proportional to 189,814.32, 261,959.40 and 104,947.92 is: 144,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814.32 : 261,959.40 = 104,947.92 : x
  2. Step 2: Convert to fraction form
    189,814.32/261,959.40 = 104,947.92/x
  3. Step 3: Cross multiply
    189,814.32x = 261,959.40 × 104,947.92
  4. Step 4: Simplify right side
    189,814.32x = 27,492,094,154.45
  5. Step 5: Solve for x
    x = 27,492,094,154.45/189,814.32
  6. Step 6: Final answer
    x = 144,836.78

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