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Finding the Fourth Proportional to 137,833.76, 206,619.32 and 44,273.84

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Solution

The fourth proportional to 137,833.76, 206,619.32 and 44,273.84 is: 66,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,833.76 : 206,619.32 = 44,273.84 : x
  2. Step 2: Convert to fraction form
    137,833.76/206,619.32 = 44,273.84/x
  3. Step 3: Cross multiply
    137,833.76x = 206,619.32 × 44,273.84
  4. Step 4: Simplify right side
    137,833.76x = 9,147,830,714.59
  5. Step 5: Solve for x
    x = 9,147,830,714.59/137,833.76
  6. Step 6: Final answer
    x = 66,368.58

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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.