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Finding the Fourth Proportional to 361,755.48, 542,559.28 and 137,038.44

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Solution

The fourth proportional to 361,755.48, 542,559.28 and 137,038.44 is: 205,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,755.48 : 542,559.28 = 137,038.44 : x
  2. Step 2: Convert to fraction form
    361,755.48/542,559.28 = 137,038.44/x
  3. Step 3: Cross multiply
    361,755.48x = 542,559.28 × 137,038.44
  4. Step 4: Simplify right side
    361,755.48x = 74,351,477,338.72
  5. Step 5: Solve for x
    x = 74,351,477,338.72/361,755.48
  6. Step 6: Final answer
    x = 205,529.65

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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.