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Finding the Fourth Proportional to 140,208, 210,313.44 and 41,712

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Solution

The fourth proportional to 140,208, 210,313.44 and 41,712 is: 62,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,208 : 210,313.44 = 41,712 : x
  2. Step 2: Convert to fraction form
    140,208/210,313.44 = 41,712/x
  3. Step 3: Cross multiply
    140,208x = 210,313.44 × 41,712
  4. Step 4: Simplify right side
    140,208x = 8,772,594,209.28
  5. Step 5: Solve for x
    x = 8,772,594,209.28/140,208
  6. Step 6: Final answer
    x = 62,568.43

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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.