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Finding the Fourth Proportional to 188,772.48, 283,074 and 55,606.08

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Solution

The fourth proportional to 188,772.48, 283,074 and 55,606.08 is: 83,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,772.48 : 283,074 = 55,606.08 : x
  2. Step 2: Convert to fraction form
    188,772.48/283,074 = 55,606.08/x
  3. Step 3: Cross multiply
    188,772.48x = 283,074 × 55,606.08
  4. Step 4: Simplify right side
    188,772.48x = 15,740,635,489.92
  5. Step 5: Solve for x
    x = 15,740,635,489.92/188,772.48
  6. Step 6: Final answer
    x = 83,384.16

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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.