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Finding the Fourth Proportional to 233,969.79, 322,878.30 and 126,539.82

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Solution

The fourth proportional to 233,969.79, 322,878.30 and 126,539.82 is: 174,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,969.79 : 322,878.30 = 126,539.82 : x
  2. Step 2: Convert to fraction form
    233,969.79/322,878.30 = 126,539.82/x
  3. Step 3: Cross multiply
    233,969.79x = 322,878.30 × 126,539.82
  4. Step 4: Simplify right side
    233,969.79x = 40,856,961,963.91
  5. Step 5: Solve for x
    x = 40,856,961,963.91/233,969.79
  6. Step 6: Final answer
    x = 174,624.95

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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.