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Finding the Fourth Proportional to 233,675.76, 322,472.58 and 133,093.20

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Solution

The fourth proportional to 233,675.76, 322,472.58 and 133,093.20 is: 183,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,675.76 : 322,472.58 = 133,093.20 : x
  2. Step 2: Convert to fraction form
    233,675.76/322,472.58 = 133,093.20/x
  3. Step 3: Cross multiply
    233,675.76x = 322,472.58 × 133,093.20
  4. Step 4: Simplify right side
    233,675.76x = 42,918,907,584.46
  5. Step 5: Solve for x
    x = 42,918,907,584.46/233,675.76
  6. Step 6: Final answer
    x = 183,668.63

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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.