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Finding the Fourth Proportional to 200,433.94, 275,969.37 and 170,156.50

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Solution

The fourth proportional to 200,433.94, 275,969.37 and 170,156.50 is: 234,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.94 : 275,969.37 = 170,156.50 : x
  2. Step 2: Convert to fraction form
    200,433.94/275,969.37 = 170,156.50/x
  3. Step 3: Cross multiply
    200,433.94x = 275,969.37 × 170,156.50
  4. Step 4: Simplify right side
    200,433.94x = 46,957,982,106.41
  5. Step 5: Solve for x
    x = 46,957,982,106.41/200,433.94
  6. Step 6: Final answer
    x = 234,281.59

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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.