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Finding the Fourth Proportional to 216,196.47, 298,265.31 and 144,462.87

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Solution

The fourth proportional to 216,196.47, 298,265.31 and 144,462.87 is: 199,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,196.47 : 298,265.31 = 144,462.87 : x
  2. Step 2: Convert to fraction form
    216,196.47/298,265.31 = 144,462.87/x
  3. Step 3: Cross multiply
    216,196.47x = 298,265.31 × 144,462.87
  4. Step 4: Simplify right side
    216,196.47x = 43,088,262,704.04
  5. Step 5: Solve for x
    x = 43,088,262,704.04/216,196.47
  6. Step 6: Final answer
    x = 199,301.42

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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.