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Finding the Fourth Proportional to 361,602.50, 542,505.32 and 133,894.68

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Solution

The fourth proportional to 361,602.50, 542,505.32 and 133,894.68 is: 200,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,602.50 : 542,505.32 = 133,894.68 : x
  2. Step 2: Convert to fraction form
    361,602.50/542,505.32 = 133,894.68/x
  3. Step 3: Cross multiply
    361,602.50x = 542,505.32 × 133,894.68
  4. Step 4: Simplify right side
    361,602.50x = 72,638,575,550.22
  5. Step 5: Solve for x
    x = 72,638,575,550.22/361,602.50
  6. Step 6: Final answer
    x = 200,879.63

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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.