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Finding the Fourth Proportional to 200,432.94, 275,967.99 and 170,155.50

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Solution

The fourth proportional to 200,432.94, 275,967.99 and 170,155.50 is: 234,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.94 : 275,967.99 = 170,155.50 : x
  2. Step 2: Convert to fraction form
    200,432.94/275,967.99 = 170,155.50/x
  3. Step 3: Cross multiply
    200,432.94x = 275,967.99 × 170,155.50
  4. Step 4: Simplify right side
    200,432.94x = 46,957,471,322.45
  5. Step 5: Solve for x
    x = 46,957,471,322.45/200,432.94
  6. Step 6: Final answer
    x = 234,280.21

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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.