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Finding the Fourth Proportional to 189,783.76, 261,906.88 and 104,906.28

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Solution

The fourth proportional to 189,783.76, 261,906.88 and 104,906.28 is: 144,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,783.76 : 261,906.88 = 104,906.28 : x
  2. Step 2: Convert to fraction form
    189,783.76/261,906.88 = 104,906.28/x
  3. Step 3: Cross multiply
    189,783.76x = 261,906.88 × 104,906.28
  4. Step 4: Simplify right side
    189,783.76x = 27,475,676,487.21
  5. Step 5: Solve for x
    x = 27,475,676,487.21/189,783.76
  6. Step 6: Final answer
    x = 144,773.59

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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.