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Finding the Fourth Proportional to 233,086.60, 349,629.90 and 206,842.60

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Solution

The fourth proportional to 233,086.60, 349,629.90 and 206,842.60 is: 310,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,086.60 : 349,629.90 = 206,842.60 : x
  2. Step 2: Convert to fraction form
    233,086.60/349,629.90 = 206,842.60/x
  3. Step 3: Cross multiply
    233,086.60x = 349,629.90 × 206,842.60
  4. Step 4: Simplify right side
    233,086.60x = 72,318,357,553.74
  5. Step 5: Solve for x
    x = 72,318,357,553.74/233,086.60
  6. Step 6: Final answer
    x = 310,263.90

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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.