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Finding the Fourth Proportional to 183,035.20, 274,552.80 and 77,857.60

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Solution

The fourth proportional to 183,035.20, 274,552.80 and 77,857.60 is: 116,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,035.20 : 274,552.80 = 77,857.60 : x
  2. Step 2: Convert to fraction form
    183,035.20/274,552.80 = 77,857.60/x
  3. Step 3: Cross multiply
    183,035.20x = 274,552.80 × 77,857.60
  4. Step 4: Simplify right side
    183,035.20x = 21,376,022,081.28
  5. Step 5: Solve for x
    x = 21,376,022,081.28/183,035.20
  6. Step 6: Final answer
    x = 116,786.40

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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.