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Finding the Fourth Proportional to 212,912.60, 319,368.90 and 142,410.20

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Solution

The fourth proportional to 212,912.60, 319,368.90 and 142,410.20 is: 213,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,912.60 : 319,368.90 = 142,410.20 : x
  2. Step 2: Convert to fraction form
    212,912.60/319,368.90 = 142,410.20/x
  3. Step 3: Cross multiply
    212,912.60x = 319,368.90 × 142,410.20
  4. Step 4: Simplify right side
    212,912.60x = 45,481,388,922.78
  5. Step 5: Solve for x
    x = 45,481,388,922.78/212,912.60
  6. Step 6: Final answer
    x = 213,615.30

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1.5x scale

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.