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Finding the Fourth Proportional to 147,860.41, 204,047.16 and 84,198.20

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Solution

The fourth proportional to 147,860.41, 204,047.16 and 84,198.20 is: 116,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,860.41 : 204,047.16 = 84,198.20 : x
  2. Step 2: Convert to fraction form
    147,860.41/204,047.16 = 84,198.20/x
  3. Step 3: Cross multiply
    147,860.41x = 204,047.16 × 84,198.20
  4. Step 4: Simplify right side
    147,860.41x = 17,180,403,587.11
  5. Step 5: Solve for x
    x = 17,180,403,587.11/147,860.41
  6. Step 6: Final answer
    x = 116,193.40

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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.