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Finding the Fourth Proportional to 126,564.48, 189,752.99 and 76,632.84

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Solution

The fourth proportional to 126,564.48, 189,752.99 and 76,632.84 is: 114,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,564.48 : 189,752.99 = 76,632.84 : x
  2. Step 2: Convert to fraction form
    126,564.48/189,752.99 = 76,632.84/x
  3. Step 3: Cross multiply
    126,564.48x = 189,752.99 × 76,632.84
  4. Step 4: Simplify right side
    126,564.48x = 14,541,310,139.03
  5. Step 5: Solve for x
    x = 14,541,310,139.03/126,564.48
  6. Step 6: Final answer
    x = 114,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.