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Finding the Fourth Proportional to 185,405.80, 278,043.90 and 96,629.80

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Solution

The fourth proportional to 185,405.80, 278,043.90 and 96,629.80 is: 144,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,405.80 : 278,043.90 = 96,629.80 : x
  2. Step 2: Convert to fraction form
    185,405.80/278,043.90 = 96,629.80/x
  3. Step 3: Cross multiply
    185,405.80x = 278,043.90 × 96,629.80
  4. Step 4: Simplify right side
    185,405.80x = 26,867,326,448.22
  5. Step 5: Solve for x
    x = 26,867,326,448.22/185,405.80
  6. Step 6: Final answer
    x = 144,910.93

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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.