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Finding the Fourth Proportional to 144,470.69, 216,804.43 and 50,976.44

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Solution

The fourth proportional to 144,470.69, 216,804.43 and 50,976.44 is: 76,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,470.69 : 216,804.43 = 50,976.44 : x
  2. Step 2: Convert to fraction form
    144,470.69/216,804.43 = 50,976.44/x
  3. Step 3: Cross multiply
    144,470.69x = 216,804.43 × 50,976.44
  4. Step 4: Simplify right side
    144,470.69x = 11,051,917,810.34
  5. Step 5: Solve for x
    x = 11,051,917,810.34/144,470.69
  6. Step 6: Final answer
    x = 76,499.38

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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.