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Finding the Fourth Proportional to 200,432.44, 275,967.30 and 170,155

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Solution

The fourth proportional to 200,432.44, 275,967.30 and 170,155 is: 234,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.44 : 275,967.30 = 170,155 : x
  2. Step 2: Convert to fraction form
    200,432.44/275,967.30 = 170,155/x
  3. Step 3: Cross multiply
    200,432.44x = 275,967.30 × 170,155
  4. Step 4: Simplify right side
    200,432.44x = 46,957,215,931.50
  5. Step 5: Solve for x
    x = 46,957,215,931.50/200,432.44
  6. Step 6: Final answer
    x = 234,279.52

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1.5x scale

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.