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Finding the Fourth Proportional to 207,708.75, 311,615.67 and 57,948.93

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Solution

The fourth proportional to 207,708.75, 311,615.67 and 57,948.93 is: 86,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,708.75 : 311,615.67 = 57,948.93 : x
  2. Step 2: Convert to fraction form
    207,708.75/311,615.67 = 57,948.93/x
  3. Step 3: Cross multiply
    207,708.75x = 311,615.67 × 57,948.93
  4. Step 4: Simplify right side
    207,708.75x = 18,057,795,426.77
  5. Step 5: Solve for x
    x = 18,057,795,426.77/207,708.75
  6. Step 6: Final answer
    x = 86,938.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.