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Finding the Fourth Proportional to 140,070.60, 210,073.86 and 40,230

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Solution

The fourth proportional to 140,070.60, 210,073.86 and 40,230 is: 60,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,070.60 : 210,073.86 = 40,230 : x
  2. Step 2: Convert to fraction form
    140,070.60/210,073.86 = 40,230/x
  3. Step 3: Cross multiply
    140,070.60x = 210,073.86 × 40,230
  4. Step 4: Simplify right side
    140,070.60x = 8,451,271,387.80
  5. Step 5: Solve for x
    x = 8,451,271,387.80/140,070.60
  6. Step 6: Final answer
    x = 60,335.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.