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Finding the Fourth Proportional to 102,070.27, 140,861.65 and 56,752.90

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Solution

The fourth proportional to 102,070.27, 140,861.65 and 56,752.90 is: 78,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.27 : 140,861.65 = 56,752.90 : x
  2. Step 2: Convert to fraction form
    102,070.27/140,861.65 = 56,752.90/x
  3. Step 3: Cross multiply
    102,070.27x = 140,861.65 × 56,752.90
  4. Step 4: Simplify right side
    102,070.27x = 7,994,306,148.21
  5. Step 5: Solve for x
    x = 7,994,306,148.21/102,070.27
  6. Step 6: Final answer
    x = 78,321.59

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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.