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Finding the Fourth Proportional to 242,333, 363,532.62 and 84,537.80

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Solution

The fourth proportional to 242,333, 363,532.62 and 84,537.80 is: 126,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,333 : 363,532.62 = 84,537.80 : x
  2. Step 2: Convert to fraction form
    242,333/363,532.62 = 84,537.80/x
  3. Step 3: Cross multiply
    242,333x = 363,532.62 × 84,537.80
  4. Step 4: Simplify right side
    242,333x = 30,732,247,923.04
  5. Step 5: Solve for x
    x = 30,732,247,923.04/242,333
  6. Step 6: Final answer
    x = 126,818.25

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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.