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Finding the Fourth Proportional to 216,076.64, 298,202.63 and 120,597.68

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Solution

The fourth proportional to 216,076.64, 298,202.63 and 120,597.68 is: 166,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,076.64 : 298,202.63 = 120,597.68 : x
  2. Step 2: Convert to fraction form
    216,076.64/298,202.63 = 120,597.68/x
  3. Step 3: Cross multiply
    216,076.64x = 298,202.63 × 120,597.68
  4. Step 4: Simplify right side
    216,076.64x = 35,962,543,253.90
  5. Step 5: Solve for x
    x = 35,962,543,253.90/216,076.64
  6. Step 6: Final answer
    x = 166,434.21

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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.