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Finding the Fourth Proportional to 274,043.26, 410,815.77 and 105,456.07

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Solution

The fourth proportional to 274,043.26, 410,815.77 and 105,456.07 is: 158,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,043.26 : 410,815.77 = 105,456.07 : x
  2. Step 2: Convert to fraction form
    274,043.26/410,815.77 = 105,456.07/x
  3. Step 3: Cross multiply
    274,043.26x = 410,815.77 × 105,456.07
  4. Step 4: Simplify right side
    274,043.26x = 43,323,016,598.22
  5. Step 5: Solve for x
    x = 43,323,016,598.22/274,043.26
  6. Step 6: Final answer
    x = 158,088.24

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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.