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Finding the Fourth Proportional to 207,533.68, 311,269.52 and 57,758.36

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Solution

The fourth proportional to 207,533.68, 311,269.52 and 57,758.36 is: 86,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,533.68 : 311,269.52 = 57,758.36 : x
  2. Step 2: Convert to fraction form
    207,533.68/311,269.52 = 57,758.36/x
  3. Step 3: Cross multiply
    207,533.68x = 311,269.52 × 57,758.36
  4. Step 4: Simplify right side
    207,533.68x = 17,978,415,581.24
  5. Step 5: Solve for x
    x = 17,978,415,581.24/207,533.68
  6. Step 6: Final answer
    x = 86,628.91

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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.