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Finding the Fourth Proportional to 202,443.30, 303,794.55 and 118,203.30

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Solution

The fourth proportional to 202,443.30, 303,794.55 and 118,203.30 is: 177,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,443.30 : 303,794.55 = 118,203.30 : x
  2. Step 2: Convert to fraction form
    202,443.30/303,794.55 = 118,203.30/x
  3. Step 3: Cross multiply
    202,443.30x = 303,794.55 × 118,203.30
  4. Step 4: Simplify right side
    202,443.30x = 35,909,518,332.02
  5. Step 5: Solve for x
    x = 35,909,518,332.02/202,443.30
  6. Step 6: Final answer
    x = 177,380.62

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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.