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Finding the Fourth Proportional to 102,162.70, 140,985.39 and 56,845.90

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Solution

The fourth proportional to 102,162.70, 140,985.39 and 56,845.90 is: 78,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.70 : 140,985.39 = 56,845.90 : x
  2. Step 2: Convert to fraction form
    102,162.70/140,985.39 = 56,845.90/x
  3. Step 3: Cross multiply
    102,162.70x = 140,985.39 × 56,845.90
  4. Step 4: Simplify right side
    102,162.70x = 8,014,441,381.40
  5. Step 5: Solve for x
    x = 8,014,441,381.40/102,162.70
  6. Step 6: Final answer
    x = 78,447.82

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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.