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Finding the Fourth Proportional to 207,548.17, 311,322.49 and 57,788.79

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Solution

The fourth proportional to 207,548.17, 311,322.49 and 57,788.79 is: 86,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,548.17 : 311,322.49 = 57,788.79 : x
  2. Step 2: Convert to fraction form
    207,548.17/311,322.49 = 57,788.79/x
  3. Step 3: Cross multiply
    207,548.17x = 311,322.49 × 57,788.79
  4. Step 4: Simplify right side
    207,548.17x = 17,990,950,436.14
  5. Step 5: Solve for x
    x = 17,990,950,436.14/207,548.17
  6. Step 6: Final answer
    x = 86,683.25

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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.