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Finding the Fourth Proportional to 216,340.34, 298,355.72 and 180,161.55

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Solution

The fourth proportional to 216,340.34, 298,355.72 and 180,161.55 is: 248,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,340.34 : 298,355.72 = 180,161.55 : x
  2. Step 2: Convert to fraction form
    216,340.34/298,355.72 = 180,161.55/x
  3. Step 3: Cross multiply
    216,340.34x = 298,355.72 × 180,161.55
  4. Step 4: Simplify right side
    216,340.34x = 53,752,228,065.76
  5. Step 5: Solve for x
    x = 53,752,228,065.76/216,340.34
  6. Step 6: Final answer
    x = 248,461.43

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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.