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Finding the Fourth Proportional to 207,057.65, 310,596.51 and 57,294.64

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Solution

The fourth proportional to 207,057.65, 310,596.51 and 57,294.64 is: 85,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,057.65 : 310,596.51 = 57,294.64 : x
  2. Step 2: Convert to fraction form
    207,057.65/310,596.51 = 57,294.64/x
  3. Step 3: Cross multiply
    207,057.65x = 310,596.51 × 57,294.64
  4. Step 4: Simplify right side
    207,057.65x = 17,795,513,672.72
  5. Step 5: Solve for x
    x = 17,795,513,672.72/207,057.65
  6. Step 6: Final answer
    x = 85,944.73

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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.