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Finding the Fourth Proportional to 242,814.80, 364,092.60 and 102,414.80

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Solution

The fourth proportional to 242,814.80, 364,092.60 and 102,414.80 is: 153,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,814.80 : 364,092.60 = 102,414.80 : x
  2. Step 2: Convert to fraction form
    242,814.80/364,092.60 = 102,414.80/x
  3. Step 3: Cross multiply
    242,814.80x = 364,092.60 × 102,414.80
  4. Step 4: Simplify right side
    242,814.80x = 37,288,470,810.48
  5. Step 5: Solve for x
    x = 37,288,470,810.48/242,814.80
  6. Step 6: Final answer
    x = 153,567.54

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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.