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Finding the Fourth Proportional to 200,434.44, 275,970.06 and 170,157

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Solution

The fourth proportional to 200,434.44, 275,970.06 and 170,157 is: 234,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.44 : 275,970.06 = 170,157 : x
  2. Step 2: Convert to fraction form
    200,434.44/275,970.06 = 170,157/x
  3. Step 3: Cross multiply
    200,434.44x = 275,970.06 × 170,157
  4. Step 4: Simplify right side
    200,434.44x = 46,958,237,499.42
  5. Step 5: Solve for x
    x = 46,958,237,499.42/200,434.44
  6. Step 6: Final answer
    x = 234,282.28

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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.