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Finding the Fourth Proportional to 216,474.88, 298,733.52 and 120,980.48

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Solution

The fourth proportional to 216,474.88, 298,733.52 and 120,980.48 is: 166,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,474.88 : 298,733.52 = 120,980.48 : x
  2. Step 2: Convert to fraction form
    216,474.88/298,733.52 = 120,980.48/x
  3. Step 3: Cross multiply
    216,474.88x = 298,733.52 × 120,980.48
  4. Step 4: Simplify right side
    216,474.88x = 36,140,924,641.69
  5. Step 5: Solve for x
    x = 36,140,924,641.69/216,474.88
  6. Step 6: Final answer
    x = 166,952.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.