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Finding the Fourth Proportional to 216,077.64, 298,204.01 and 120,598.68

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Solution

The fourth proportional to 216,077.64, 298,204.01 and 120,598.68 is: 166,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,077.64 : 298,204.01 = 120,598.68 : x
  2. Step 2: Convert to fraction form
    216,077.64/298,204.01 = 120,598.68/x
  3. Step 3: Cross multiply
    216,077.64x = 298,204.01 × 120,598.68
  4. Step 4: Simplify right side
    216,077.64x = 35,963,009,976.71
  5. Step 5: Solve for x
    x = 35,963,009,976.71/216,077.64
  6. Step 6: Final answer
    x = 166,435.59

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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.