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Finding the Fourth Proportional to 242,594.60, 363,892.26 and 84,822.80

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Solution

The fourth proportional to 242,594.60, 363,892.26 and 84,822.80 is: 127,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,594.60 : 363,892.26 = 84,822.80 : x
  2. Step 2: Convert to fraction form
    242,594.60/363,892.26 = 84,822.80/x
  3. Step 3: Cross multiply
    242,594.60x = 363,892.26 × 84,822.80
  4. Step 4: Simplify right side
    242,594.60x = 30,866,360,391.53
  5. Step 5: Solve for x
    x = 30,866,360,391.53/242,594.60
  6. Step 6: Final answer
    x = 127,234.33

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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.