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Finding the Fourth Proportional to 137,323.90, 205,788.96 and 78,034.30

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Solution

The fourth proportional to 137,323.90, 205,788.96 and 78,034.30 is: 116,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,323.90 : 205,788.96 = 78,034.30 : x
  2. Step 2: Convert to fraction form
    137,323.90/205,788.96 = 78,034.30/x
  3. Step 3: Cross multiply
    137,323.90x = 205,788.96 × 78,034.30
  4. Step 4: Simplify right side
    137,323.90x = 16,058,597,441.33
  5. Step 5: Solve for x
    x = 16,058,597,441.33/137,323.90
  6. Step 6: Final answer
    x = 116,939.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.