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Finding the Fourth Proportional to 242,544.80, 363,687.60 and 102,144.80

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Solution

The fourth proportional to 242,544.80, 363,687.60 and 102,144.80 is: 153,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,544.80 : 363,687.60 = 102,144.80 : x
  2. Step 2: Convert to fraction form
    242,544.80/363,687.60 = 102,144.80/x
  3. Step 3: Cross multiply
    242,544.80x = 363,687.60 × 102,144.80
  4. Step 4: Simplify right side
    242,544.80x = 37,148,797,164.48
  5. Step 5: Solve for x
    x = 37,148,797,164.48/242,544.80
  6. Step 6: Final answer
    x = 153,162.62

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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.