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Finding the Fourth Proportional to 201,652.08, 302,665.02 and 101,882.52

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Solution

The fourth proportional to 201,652.08, 302,665.02 and 101,882.52 is: 152,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,652.08 : 302,665.02 = 101,882.52 : x
  2. Step 2: Convert to fraction form
    201,652.08/302,665.02 = 101,882.52/x
  3. Step 3: Cross multiply
    201,652.08x = 302,665.02 × 101,882.52
  4. Step 4: Simplify right side
    201,652.08x = 30,836,274,953.45
  5. Step 5: Solve for x
    x = 30,836,274,953.45/201,652.08
  6. Step 6: Final answer
    x = 152,918.21

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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.