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Finding the Fourth Proportional to 216,201.42, 298,272.06 and 144,467.82

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Solution

The fourth proportional to 216,201.42, 298,272.06 and 144,467.82 is: 199,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,201.42 : 298,272.06 = 144,467.82 : x
  2. Step 2: Convert to fraction form
    216,201.42/298,272.06 = 144,467.82/x
  3. Step 3: Cross multiply
    216,201.42x = 298,272.06 × 144,467.82
  4. Step 4: Simplify right side
    216,201.42x = 43,090,714,275.11
  5. Step 5: Solve for x
    x = 43,090,714,275.11/216,201.42
  6. Step 6: Final answer
    x = 199,308.19

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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.