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Finding the Fourth Proportional to 216,456.32, 298,699.71 and 120,962.18

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Solution

The fourth proportional to 216,456.32, 298,699.71 and 120,962.18 is: 166,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,456.32 : 298,699.71 = 120,962.18 : x
  2. Step 2: Convert to fraction form
    216,456.32/298,699.71 = 120,962.18/x
  3. Step 3: Cross multiply
    216,456.32x = 298,699.71 × 120,962.18
  4. Step 4: Simplify right side
    216,456.32x = 36,131,368,086.97
  5. Step 5: Solve for x
    x = 36,131,368,086.97/216,456.32
  6. Step 6: Final answer
    x = 166,922.21

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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.