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Finding the Fourth Proportional to 138,709.08, 208,063.62 and 33,528.03

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Solution

The fourth proportional to 138,709.08, 208,063.62 and 33,528.03 is: 50,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,709.08 : 208,063.62 = 33,528.03 : x
  2. Step 2: Convert to fraction form
    138,709.08/208,063.62 = 33,528.03/x
  3. Step 3: Cross multiply
    138,709.08x = 208,063.62 × 33,528.03
  4. Step 4: Simplify right side
    138,709.08x = 6,975,963,293.27
  5. Step 5: Solve for x
    x = 6,975,963,293.27/138,709.08
  6. Step 6: Final answer
    x = 50,292.05

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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.