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Finding the Fourth Proportional to 235,622.60, 353,433.90 and 142,310.60

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Solution

The fourth proportional to 235,622.60, 353,433.90 and 142,310.60 is: 213,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,622.60 : 353,433.90 = 142,310.60 : x
  2. Step 2: Convert to fraction form
    235,622.60/353,433.90 = 142,310.60/x
  3. Step 3: Cross multiply
    235,622.60x = 353,433.90 × 142,310.60
  4. Step 4: Simplify right side
    235,622.60x = 50,297,390,369.34
  5. Step 5: Solve for x
    x = 50,297,390,369.34/235,622.60
  6. Step 6: Final answer
    x = 213,465.90

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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.