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Finding the Fourth Proportional to 242,666.56, 363,769.44 and 84,792.16

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Solution

The fourth proportional to 242,666.56, 363,769.44 and 84,792.16 is: 127,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,666.56 : 363,769.44 = 84,792.16 : x
  2. Step 2: Convert to fraction form
    242,666.56/363,769.44 = 84,792.16/x
  3. Step 3: Cross multiply
    242,666.56x = 363,769.44 × 84,792.16
  4. Step 4: Simplify right side
    242,666.56x = 30,844,796,559.59
  5. Step 5: Solve for x
    x = 30,844,796,559.59/242,666.56
  6. Step 6: Final answer
    x = 127,107.73

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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.