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Finding the Fourth Proportional to 233,736.30, 322,443.30 and 153,128.34

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Solution

The fourth proportional to 233,736.30, 322,443.30 and 153,128.34 is: 211,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,736.30 : 322,443.30 = 153,128.34 : x
  2. Step 2: Convert to fraction form
    233,736.30/322,443.30 = 153,128.34/x
  3. Step 3: Cross multiply
    233,736.30x = 322,443.30 × 153,128.34
  4. Step 4: Simplify right side
    233,736.30x = 49,375,207,273.12
  5. Step 5: Solve for x
    x = 49,375,207,273.12/233,736.30
  6. Step 6: Final answer
    x = 211,243.21

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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.