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Finding the Fourth Proportional to 225,977.56, 311,854.82 and 124,007.40

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Solution

The fourth proportional to 225,977.56, 311,854.82 and 124,007.40 is: 171,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,977.56 : 311,854.82 = 124,007.40 : x
  2. Step 2: Convert to fraction form
    225,977.56/311,854.82 = 124,007.40/x
  3. Step 3: Cross multiply
    225,977.56x = 311,854.82 × 124,007.40
  4. Step 4: Simplify right side
    225,977.56x = 38,672,305,405.67
  5. Step 5: Solve for x
    x = 38,672,305,405.67/225,977.56
  6. Step 6: Final answer
    x = 171,133.39

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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.