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Finding the Fourth Proportional to 206,883.60, 310,033.80 and 127,762.80

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Solution

The fourth proportional to 206,883.60, 310,033.80 and 127,762.80 is: 191,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.60 : 310,033.80 = 127,762.80 : x
  2. Step 2: Convert to fraction form
    206,883.60/310,033.80 = 127,762.80/x
  3. Step 3: Cross multiply
    206,883.60x = 310,033.80 × 127,762.80
  4. Step 4: Simplify right side
    206,883.60x = 39,610,786,382.64
  5. Step 5: Solve for x
    x = 39,610,786,382.64/206,883.60
  6. Step 6: Final answer
    x = 191,464.12

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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.