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Finding the Fourth Proportional to 302,116.82, 416,941.59 and 199,966.28

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Solution

The fourth proportional to 302,116.82, 416,941.59 and 199,966.28 is: 275,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,116.82 : 416,941.59 = 199,966.28 : x
  2. Step 2: Convert to fraction form
    302,116.82/416,941.59 = 199,966.28/x
  3. Step 3: Cross multiply
    302,116.82x = 416,941.59 × 199,966.28
  4. Step 4: Simplify right side
    302,116.82x = 83,374,258,729.59
  5. Step 5: Solve for x
    x = 83,374,258,729.59/302,116.82
  6. Step 6: Final answer
    x = 275,966.95

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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.