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Finding the Fourth Proportional to 207,564.98, 286,213.17 and 140,380.34

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Solution

The fourth proportional to 207,564.98, 286,213.17 and 140,380.34 is: 193,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,564.98 : 286,213.17 = 140,380.34 : x
  2. Step 2: Convert to fraction form
    207,564.98/286,213.17 = 140,380.34/x
  3. Step 3: Cross multiply
    207,564.98x = 286,213.17 × 140,380.34
  4. Step 4: Simplify right side
    207,564.98x = 40,178,702,117.08
  5. Step 5: Solve for x
    x = 40,178,702,117.08/207,564.98
  6. Step 6: Final answer
    x = 193,571.68

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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.