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Finding the Fourth Proportional to 170,866.96, 235,786.64 and 102,034.10

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Solution

The fourth proportional to 170,866.96, 235,786.64 and 102,034.10 is: 140,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,866.96 : 235,786.64 = 102,034.10 : x
  2. Step 2: Convert to fraction form
    170,866.96/235,786.64 = 102,034.10/x
  3. Step 3: Cross multiply
    170,866.96x = 235,786.64 × 102,034.10
  4. Step 4: Simplify right side
    170,866.96x = 24,058,275,915.32
  5. Step 5: Solve for x
    x = 24,058,275,915.32/170,866.96
  6. Step 6: Final answer
    x = 140,801.22

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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.