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Finding the Fourth Proportional to 140,875, 211,312.20 and 35,693.68

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Solution

The fourth proportional to 140,875, 211,312.20 and 35,693.68 is: 53,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,875 : 211,312.20 = 35,693.68 : x
  2. Step 2: Convert to fraction form
    140,875/211,312.20 = 35,693.68/x
  3. Step 3: Cross multiply
    140,875x = 211,312.20 × 35,693.68
  4. Step 4: Simplify right side
    140,875x = 7,542,510,046.90
  5. Step 5: Solve for x
    x = 7,542,510,046.90/140,875
  6. Step 6: Final answer
    x = 53,540.44

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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.