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Finding the Fourth Proportional to 202,083.40, 303,125.10 and 157,468.60

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Solution

The fourth proportional to 202,083.40, 303,125.10 and 157,468.60 is: 236,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,083.40 : 303,125.10 = 157,468.60 : x
  2. Step 2: Convert to fraction form
    202,083.40/303,125.10 = 157,468.60/x
  3. Step 3: Cross multiply
    202,083.40x = 303,125.10 × 157,468.60
  4. Step 4: Simplify right side
    202,083.40x = 47,732,685,121.86
  5. Step 5: Solve for x
    x = 47,732,685,121.86/202,083.40
  6. Step 6: Final answer
    x = 236,202.90

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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.