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Finding the Fourth Proportional to 225,567.36, 311,296 and 123,593

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Solution

The fourth proportional to 225,567.36, 311,296 and 123,593 is: 170,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,567.36 : 311,296 = 123,593 : x
  2. Step 2: Convert to fraction form
    225,567.36/311,296 = 123,593/x
  3. Step 3: Cross multiply
    225,567.36x = 311,296 × 123,593
  4. Step 4: Simplify right side
    225,567.36x = 38,474,006,528
  5. Step 5: Solve for x
    x = 38,474,006,528/225,567.36
  6. Step 6: Final answer
    x = 170,565.49

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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.