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Finding the Fourth Proportional to 252,585.85, 378,550.72 and 102,651.66

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Solution

The fourth proportional to 252,585.85, 378,550.72 and 102,651.66 is: 153,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,585.85 : 378,550.72 = 102,651.66 : x
  2. Step 2: Convert to fraction form
    252,585.85/378,550.72 = 102,651.66/x
  3. Step 3: Cross multiply
    252,585.85x = 378,550.72 × 102,651.66
  4. Step 4: Simplify right side
    252,585.85x = 38,858,859,930.51
  5. Step 5: Solve for x
    x = 38,858,859,930.51/252,585.85
  6. Step 6: Final answer
    x = 153,844.17

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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.