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Finding the Fourth Proportional to 203,411.80, 305,117.70 and 128,762.20

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Solution

The fourth proportional to 203,411.80, 305,117.70 and 128,762.20 is: 193,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411.80 : 305,117.70 = 128,762.20 : x
  2. Step 2: Convert to fraction form
    203,411.80/305,117.70 = 128,762.20/x
  3. Step 3: Cross multiply
    203,411.80x = 305,117.70 × 128,762.20
  4. Step 4: Simplify right side
    203,411.80x = 39,287,626,310.94
  5. Step 5: Solve for x
    x = 39,287,626,310.94/203,411.80
  6. Step 6: Final answer
    x = 193,143.30

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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.