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Finding the Fourth Proportional to 207,708.50, 311,615.30 and 57,948.68

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Solution

The fourth proportional to 207,708.50, 311,615.30 and 57,948.68 is: 86,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,708.50 : 311,615.30 = 57,948.68 : x
  2. Step 2: Convert to fraction form
    207,708.50/311,615.30 = 57,948.68/x
  3. Step 3: Cross multiply
    207,708.50x = 311,615.30 × 57,948.68
  4. Step 4: Simplify right side
    207,708.50x = 18,057,695,792.10
  5. Step 5: Solve for x
    x = 18,057,695,792.10/207,708.50
  6. Step 6: Final answer
    x = 86,937.68

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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.