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Finding the Fourth Proportional to 216,340.50, 298,355.96 and 180,161.76

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Solution

The fourth proportional to 216,340.50, 298,355.96 and 180,161.76 is: 248,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,340.50 : 298,355.96 = 180,161.76 : x
  2. Step 2: Convert to fraction form
    216,340.50/298,355.96 = 180,161.76/x
  3. Step 3: Cross multiply
    216,340.50x = 298,355.96 × 180,161.76
  4. Step 4: Simplify right side
    216,340.50x = 53,752,333,959.28
  5. Step 5: Solve for x
    x = 53,752,333,959.28/216,340.50
  6. Step 6: Final answer
    x = 248,461.73

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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.