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Finding the Fourth Proportional to 361,774.69, 542,640.08 and 162,041.45

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Solution

The fourth proportional to 361,774.69, 542,640.08 and 162,041.45 is: 243,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,774.69 : 542,640.08 = 162,041.45 : x
  2. Step 2: Convert to fraction form
    361,774.69/542,640.08 = 162,041.45/x
  3. Step 3: Cross multiply
    361,774.69x = 542,640.08 × 162,041.45
  4. Step 4: Simplify right side
    361,774.69x = 87,930,183,083.22
  5. Step 5: Solve for x
    x = 87,930,183,083.22/361,774.69
  6. Step 6: Final answer
    x = 243,052.34

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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.