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Finding the Fourth Proportional to 225,729.17, 311,509.76 and 123,763.94

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Solution

The fourth proportional to 225,729.17, 311,509.76 and 123,763.94 is: 170,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,729.17 : 311,509.76 = 123,763.94 : x
  2. Step 2: Convert to fraction form
    225,729.17/311,509.76 = 123,763.94/x
  3. Step 3: Cross multiply
    225,729.17x = 311,509.76 × 123,763.94
  4. Step 4: Simplify right side
    225,729.17x = 38,553,675,246.05
  5. Step 5: Solve for x
    x = 38,553,675,246.05/225,729.17
  6. Step 6: Final answer
    x = 170,796.16

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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.