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Finding the Fourth Proportional to 235,722.60, 353,195.10 and 200,730.60

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Solution

The fourth proportional to 235,722.60, 353,195.10 and 200,730.60 is: 300,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,722.60 : 353,195.10 = 200,730.60 : x
  2. Step 2: Convert to fraction form
    235,722.60/353,195.10 = 200,730.60/x
  3. Step 3: Cross multiply
    235,722.60x = 353,195.10 × 200,730.60
  4. Step 4: Simplify right side
    235,722.60x = 70,897,064,340.06
  5. Step 5: Solve for x
    x = 70,897,064,340.06/235,722.60
  6. Step 6: Final answer
    x = 300,764.82

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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.