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Finding the Fourth Proportional to 202,421.44, 303,632.54 and 52,661.48

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Solution

The fourth proportional to 202,421.44, 303,632.54 and 52,661.48 is: 78,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421.44 : 303,632.54 = 52,661.48 : x
  2. Step 2: Convert to fraction form
    202,421.44/303,632.54 = 52,661.48/x
  3. Step 3: Cross multiply
    202,421.44x = 303,632.54 × 52,661.48
  4. Step 4: Simplify right side
    202,421.44x = 15,989,740,058.58
  5. Step 5: Solve for x
    x = 15,989,740,058.58/202,421.44
  6. Step 6: Final answer
    x = 78,992.33

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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.