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Finding the Fourth Proportional to 233,969.29, 322,877.61 and 126,539.32

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Solution

The fourth proportional to 233,969.29, 322,877.61 and 126,539.32 is: 174,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,969.29 : 322,877.61 = 126,539.32 : x
  2. Step 2: Convert to fraction form
    233,969.29/322,877.61 = 126,539.32/x
  3. Step 3: Cross multiply
    233,969.29x = 322,877.61 × 126,539.32
  4. Step 4: Simplify right side
    233,969.29x = 40,856,712,405.43
  5. Step 5: Solve for x
    x = 40,856,712,405.43/233,969.29
  6. Step 6: Final answer
    x = 174,624.25

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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.