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Finding the Fourth Proportional to 206,898.60, 310,347.90 and 122,917.80

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Solution

The fourth proportional to 206,898.60, 310,347.90 and 122,917.80 is: 184,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898.60 : 310,347.90 = 122,917.80 : x
  2. Step 2: Convert to fraction form
    206,898.60/310,347.90 = 122,917.80/x
  3. Step 3: Cross multiply
    206,898.60x = 310,347.90 × 122,917.80
  4. Step 4: Simplify right side
    206,898.60x = 38,147,281,102.62
  5. Step 5: Solve for x
    x = 38,147,281,102.62/206,898.60
  6. Step 6: Final answer
    x = 184,376.70

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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.