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Finding the Fourth Proportional to 206,905.60, 310,358.40 and 122,924.80

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Solution

The fourth proportional to 206,905.60, 310,358.40 and 122,924.80 is: 184,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,905.60 : 310,358.40 = 122,924.80 : x
  2. Step 2: Convert to fraction form
    206,905.60/310,358.40 = 122,924.80/x
  3. Step 3: Cross multiply
    206,905.60x = 310,358.40 × 122,924.80
  4. Step 4: Simplify right side
    206,905.60x = 38,150,744,248.32
  5. Step 5: Solve for x
    x = 38,150,744,248.32/206,905.60
  6. Step 6: Final answer
    x = 184,387.20

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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.