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Finding the Fourth Proportional to 233,563.19, 322,317.15 and 126,133.20

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Solution

The fourth proportional to 233,563.19, 322,317.15 and 126,133.20 is: 174,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,563.19 : 322,317.15 = 126,133.20 : x
  2. Step 2: Convert to fraction form
    233,563.19/322,317.15 = 126,133.20/x
  3. Step 3: Cross multiply
    233,563.19x = 322,317.15 × 126,133.20
  4. Step 4: Simplify right side
    233,563.19x = 40,654,893,544.38
  5. Step 5: Solve for x
    x = 40,654,893,544.38/233,563.19
  6. Step 6: Final answer
    x = 174,063.79

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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.