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Finding the Fourth Proportional to 185,206.69, 255,580 and 108,724.57

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Solution

The fourth proportional to 185,206.69, 255,580 and 108,724.57 is: 150,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,206.69 : 255,580 = 108,724.57 : x
  2. Step 2: Convert to fraction form
    185,206.69/255,580 = 108,724.57/x
  3. Step 3: Cross multiply
    185,206.69x = 255,580 × 108,724.57
  4. Step 4: Simplify right side
    185,206.69x = 27,787,825,600.60
  5. Step 5: Solve for x
    x = 27,787,825,600.60/185,206.69
  6. Step 6: Final answer
    x = 150,036.84

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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.