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Finding the Fourth Proportional to 102,243.28, 141,094.56 and 56,920

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Solution

The fourth proportional to 102,243.28, 141,094.56 and 56,920 is: 78,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,243.28 : 141,094.56 = 56,920 : x
  2. Step 2: Convert to fraction form
    102,243.28/141,094.56 = 56,920/x
  3. Step 3: Cross multiply
    102,243.28x = 141,094.56 × 56,920
  4. Step 4: Simplify right side
    102,243.28x = 8,031,102,355.20
  5. Step 5: Solve for x
    x = 8,031,102,355.20/102,243.28
  6. Step 6: Final answer
    x = 78,548.95

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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.