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Finding the Fourth Proportional to 216,454.32, 298,696.95 and 120,960.18

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Solution

The fourth proportional to 216,454.32, 298,696.95 and 120,960.18 is: 166,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,454.32 : 298,696.95 = 120,960.18 : x
  2. Step 2: Convert to fraction form
    216,454.32/298,696.95 = 120,960.18/x
  3. Step 3: Cross multiply
    216,454.32x = 298,696.95 × 120,960.18
  4. Step 4: Simplify right side
    216,454.32x = 36,130,436,837.45
  5. Step 5: Solve for x
    x = 36,130,436,837.45/216,454.32
  6. Step 6: Final answer
    x = 166,919.45

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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.