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Finding the Fourth Proportional to 242,564.20, 363,846.30 and 148,085.80

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Solution

The fourth proportional to 242,564.20, 363,846.30 and 148,085.80 is: 222,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.20 : 363,846.30 = 148,085.80 : x
  2. Step 2: Convert to fraction form
    242,564.20/363,846.30 = 148,085.80/x
  3. Step 3: Cross multiply
    242,564.20x = 363,846.30 × 148,085.80
  4. Step 4: Simplify right side
    242,564.20x = 53,880,470,412.54
  5. Step 5: Solve for x
    x = 53,880,470,412.54/242,564.20
  6. Step 6: Final answer
    x = 222,128.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.