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Finding the Fourth Proportional to 202,029.64, 302,978.52 and 67,057.48

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Solution

The fourth proportional to 202,029.64, 302,978.52 and 67,057.48 is: 100,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,029.64 : 302,978.52 = 67,057.48 : x
  2. Step 2: Convert to fraction form
    202,029.64/302,978.52 = 67,057.48/x
  3. Step 3: Cross multiply
    202,029.64x = 302,978.52 × 67,057.48
  4. Step 4: Simplify right side
    202,029.64x = 20,316,976,045.33
  5. Step 5: Solve for x
    x = 20,316,976,045.33/202,029.64
  6. Step 6: Final answer
    x = 100,564.33

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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.