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Finding the Fourth Proportional to 233,764.29, 322,594.77 and 133,162.29

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Solution

The fourth proportional to 233,764.29, 322,594.77 and 133,162.29 is: 183,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,764.29 : 322,594.77 = 133,162.29 : x
  2. Step 2: Convert to fraction form
    233,764.29/322,594.77 = 133,162.29/x
  3. Step 3: Cross multiply
    233,764.29x = 322,594.77 × 133,162.29
  4. Step 4: Simplify right side
    233,764.29x = 42,957,458,315.22
  5. Step 5: Solve for x
    x = 42,957,458,315.22/233,764.29
  6. Step 6: Final answer
    x = 183,763.99

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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.