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Finding the Fourth Proportional to 185,410.80, 278,051.40 and 96,634.80

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Solution

The fourth proportional to 185,410.80, 278,051.40 and 96,634.80 is: 144,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,410.80 : 278,051.40 = 96,634.80 : x
  2. Step 2: Convert to fraction form
    185,410.80/278,051.40 = 96,634.80/x
  3. Step 3: Cross multiply
    185,410.80x = 278,051.40 × 96,634.80
  4. Step 4: Simplify right side
    185,410.80x = 26,869,441,428.72
  5. Step 5: Solve for x
    x = 26,869,441,428.72/185,410.80
  6. Step 6: Final answer
    x = 144,918.43

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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.