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Finding the Fourth Proportional to 170,537.76, 235,363.50 and 97,963.38

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Solution

The fourth proportional to 170,537.76, 235,363.50 and 97,963.38 is: 135,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,537.76 : 235,363.50 = 97,963.38 : x
  2. Step 2: Convert to fraction form
    170,537.76/235,363.50 = 97,963.38/x
  3. Step 3: Cross multiply
    170,537.76x = 235,363.50 × 97,963.38
  4. Step 4: Simplify right side
    170,537.76x = 23,057,003,988.63
  5. Step 5: Solve for x
    x = 23,057,003,988.63/170,537.76
  6. Step 6: Final answer
    x = 135,201.75

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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.