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Finding the Fourth Proportional to 102,078.17, 140,874.26 and 56,766.29

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Solution

The fourth proportional to 102,078.17, 140,874.26 and 56,766.29 is: 78,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078.17 : 140,874.26 = 56,766.29 : x
  2. Step 2: Convert to fraction form
    102,078.17/140,874.26 = 56,766.29/x
  3. Step 3: Cross multiply
    102,078.17x = 140,874.26 × 56,766.29
  4. Step 4: Simplify right side
    102,078.17x = 7,996,908,108.49
  5. Step 5: Solve for x
    x = 7,996,908,108.49/102,078.17
  6. Step 6: Final answer
    x = 78,341.03

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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.