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Finding the Fourth Proportional to 202,005.48, 302,983.56 and 52,233.23

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Solution

The fourth proportional to 202,005.48, 302,983.56 and 52,233.23 is: 78,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.48 : 302,983.56 = 52,233.23 : x
  2. Step 2: Convert to fraction form
    202,005.48/302,983.56 = 52,233.23/x
  3. Step 3: Cross multiply
    202,005.48x = 302,983.56 × 52,233.23
  4. Step 4: Simplify right side
    202,005.48x = 15,825,810,027.92
  5. Step 5: Solve for x
    x = 15,825,810,027.92/202,005.48
  6. Step 6: Final answer
    x = 78,343.47

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1.5x scale

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.