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Finding the Fourth Proportional to 216,048.90, 298,147.68 and 120,555.66

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Solution

The fourth proportional to 216,048.90, 298,147.68 and 120,555.66 is: 166,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,048.90 : 298,147.68 = 120,555.66 : x
  2. Step 2: Convert to fraction form
    216,048.90/298,147.68 = 120,555.66/x
  3. Step 3: Cross multiply
    216,048.90x = 298,147.68 × 120,555.66
  4. Step 4: Simplify right side
    216,048.90x = 35,943,390,339.87
  5. Step 5: Solve for x
    x = 35,943,390,339.87/216,048.90
  6. Step 6: Final answer
    x = 166,366.92

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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.