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Finding the Fourth Proportional to 202,361.20, 303,347.40 and 157,357.60

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Solution

The fourth proportional to 202,361.20, 303,347.40 and 157,357.60 is: 235,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361.20 : 303,347.40 = 157,357.60 : x
  2. Step 2: Convert to fraction form
    202,361.20/303,347.40 = 157,357.60/x
  3. Step 3: Cross multiply
    202,361.20x = 303,347.40 × 157,357.60
  4. Step 4: Simplify right side
    202,361.20x = 47,734,018,830.24
  5. Step 5: Solve for x
    x = 47,734,018,830.24/202,361.20
  6. Step 6: Final answer
    x = 235,885.23

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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.