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Finding the Fourth Proportional to 202,527.20, 303,207.60 and 123,795.20

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Solution

The fourth proportional to 202,527.20, 303,207.60 and 123,795.20 is: 185,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,527.20 : 303,207.60 = 123,795.20 : x
  2. Step 2: Convert to fraction form
    202,527.20/303,207.60 = 123,795.20/x
  3. Step 3: Cross multiply
    202,527.20x = 303,207.60 × 123,795.20
  4. Step 4: Simplify right side
    202,527.20x = 37,535,645,483.52
  5. Step 5: Solve for x
    x = 37,535,645,483.52/202,527.20
  6. Step 6: Final answer
    x = 185,336.32

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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.