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Finding the Fourth Proportional to 216,811.09, 325,216.64 and 142,921.81

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Solution

The fourth proportional to 216,811.09, 325,216.64 and 142,921.81 is: 214,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,811.09 : 325,216.64 = 142,921.81 : x
  2. Step 2: Convert to fraction form
    216,811.09/325,216.64 = 142,921.81/x
  3. Step 3: Cross multiply
    216,811.09x = 325,216.64 × 142,921.81
  4. Step 4: Simplify right side
    216,811.09x = 46,480,550,116.31
  5. Step 5: Solve for x
    x = 46,480,550,116.31/216,811.09
  6. Step 6: Final answer
    x = 214,382.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.