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Finding the Fourth Proportional to 140,820, 211,230 and 47,325.75

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Solution

The fourth proportional to 140,820, 211,230 and 47,325.75 is: 70,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,820 : 211,230 = 47,325.75 : x
  2. Step 2: Convert to fraction form
    140,820/211,230 = 47,325.75/x
  3. Step 3: Cross multiply
    140,820x = 211,230 × 47,325.75
  4. Step 4: Simplify right side
    140,820x = 9,996,618,172.50
  5. Step 5: Solve for x
    x = 9,996,618,172.50/140,820
  6. Step 6: Final answer
    x = 70,988.63

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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.