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Finding the Fourth Proportional to 145,519.20, 200,828.16 and 81,853.20

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Solution

The fourth proportional to 145,519.20, 200,828.16 and 81,853.20 is: 112,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,519.20 : 200,828.16 = 81,853.20 : x
  2. Step 2: Convert to fraction form
    145,519.20/200,828.16 = 81,853.20/x
  3. Step 3: Cross multiply
    145,519.20x = 200,828.16 × 81,853.20
  4. Step 4: Simplify right side
    145,519.20x = 16,438,427,546.11
  5. Step 5: Solve for x
    x = 16,438,427,546.11/145,519.20
  6. Step 6: Final answer
    x = 112,963.98

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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.