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Finding the Fourth Proportional to 185,107.60, 255,448.16 and 100,224.64

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Solution

The fourth proportional to 185,107.60, 255,448.16 and 100,224.64 is: 138,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,107.60 : 255,448.16 = 100,224.64 : x
  2. Step 2: Convert to fraction form
    185,107.60/255,448.16 = 100,224.64/x
  3. Step 3: Cross multiply
    185,107.60x = 255,448.16 × 100,224.64
  4. Step 4: Simplify right side
    185,107.60x = 25,602,199,874.66
  5. Step 5: Solve for x
    x = 25,602,199,874.66/185,107.60
  6. Step 6: Final answer
    x = 138,309.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.