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Finding the Fourth Proportional to 216,455.32, 298,698.33 and 120,961.18

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Solution

The fourth proportional to 216,455.32, 298,698.33 and 120,961.18 is: 166,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,455.32 : 298,698.33 = 120,961.18 : x
  2. Step 2: Convert to fraction form
    216,455.32/298,698.33 = 120,961.18/x
  3. Step 3: Cross multiply
    216,455.32x = 298,698.33 × 120,961.18
  4. Step 4: Simplify right side
    216,455.32x = 36,130,902,460.83
  5. Step 5: Solve for x
    x = 36,130,902,460.83/216,455.32
  6. Step 6: Final answer
    x = 166,920.83

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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.