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Finding the Fourth Proportional to 202,037.20, 302,861.40 and 157,033.60

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Solution

The fourth proportional to 202,037.20, 302,861.40 and 157,033.60 is: 235,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,037.20 : 302,861.40 = 157,033.60 : x
  2. Step 2: Convert to fraction form
    202,037.20/302,861.40 = 157,033.60/x
  3. Step 3: Cross multiply
    202,037.20x = 302,861.40 × 157,033.60
  4. Step 4: Simplify right side
    202,037.20x = 47,559,415,943.04
  5. Step 5: Solve for x
    x = 47,559,415,943.04/202,037.20
  6. Step 6: Final answer
    x = 235,399.30

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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.