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Finding the Fourth Proportional to 202,350.70, 303,331.65 and 157,347.10

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Solution

The fourth proportional to 202,350.70, 303,331.65 and 157,347.10 is: 235,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,350.70 : 303,331.65 = 157,347.10 : x
  2. Step 2: Convert to fraction form
    202,350.70/303,331.65 = 157,347.10/x
  3. Step 3: Cross multiply
    202,350.70x = 303,331.65 × 157,347.10
  4. Step 4: Simplify right side
    202,350.70x = 47,728,355,465.72
  5. Step 5: Solve for x
    x = 47,728,355,465.72/202,350.70
  6. Step 6: Final answer
    x = 235,869.49

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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.