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Finding the Fourth Proportional to 223,785.98, 308,831.36 and 137,794.60

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Solution

The fourth proportional to 223,785.98, 308,831.36 and 137,794.60 is: 190,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,785.98 : 308,831.36 = 137,794.60 : x
  2. Step 2: Convert to fraction form
    223,785.98/308,831.36 = 137,794.60/x
  3. Step 3: Cross multiply
    223,785.98x = 308,831.36 × 137,794.60
  4. Step 4: Simplify right side
    223,785.98x = 42,555,293,718.66
  5. Step 5: Solve for x
    x = 42,555,293,718.66/223,785.98
  6. Step 6: Final answer
    x = 190,160.68

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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.