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Finding the Fourth Proportional to 216,228, 298,359.04 and 120,719.36

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Solution

The fourth proportional to 216,228, 298,359.04 and 120,719.36 is: 166,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,228 : 298,359.04 = 120,719.36 : x
  2. Step 2: Convert to fraction form
    216,228/298,359.04 = 120,719.36/x
  3. Step 3: Cross multiply
    216,228x = 298,359.04 × 120,719.36
  4. Step 4: Simplify right side
    216,228x = 36,017,712,359.01
  5. Step 5: Solve for x
    x = 36,017,712,359.01/216,228
  6. Step 6: Final answer
    x = 166,572.84

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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.