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Finding the Fourth Proportional to 252,566.50, 378,953.64 and 185,441.26

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Solution

The fourth proportional to 252,566.50, 378,953.64 and 185,441.26 is: 278,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,566.50 : 378,953.64 = 185,441.26 : x
  2. Step 2: Convert to fraction form
    252,566.50/378,953.64 = 185,441.26/x
  3. Step 3: Cross multiply
    252,566.50x = 378,953.64 × 185,441.26
  4. Step 4: Simplify right side
    252,566.50x = 70,273,640,483.19
  5. Step 5: Solve for x
    x = 70,273,640,483.19/252,566.50
  6. Step 6: Final answer
    x = 278,238.17

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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.