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Finding the Fourth Proportional to 170,857.26, 235,893.87 and 152,921.16

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Solution

The fourth proportional to 170,857.26, 235,893.87 and 152,921.16 is: 211,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,857.26 : 235,893.87 = 152,921.16 : x
  2. Step 2: Convert to fraction form
    170,857.26/235,893.87 = 152,921.16/x
  3. Step 3: Cross multiply
    170,857.26x = 235,893.87 × 152,921.16
  4. Step 4: Simplify right side
    170,857.26x = 36,073,164,237.29
  5. Step 5: Solve for x
    x = 36,073,164,237.29/170,857.26
  6. Step 6: Final answer
    x = 211,130.42

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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.