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Finding the Fourth Proportional to 212,951.60, 319,427.40 and 156,964.40

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Solution

The fourth proportional to 212,951.60, 319,427.40 and 156,964.40 is: 235,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951.60 : 319,427.40 = 156,964.40 : x
  2. Step 2: Convert to fraction form
    212,951.60/319,427.40 = 156,964.40/x
  3. Step 3: Cross multiply
    212,951.60x = 319,427.40 × 156,964.40
  4. Step 4: Simplify right side
    212,951.60x = 50,138,730,184.56
  5. Step 5: Solve for x
    x = 50,138,730,184.56/212,951.60
  6. Step 6: Final answer
    x = 235,446.60

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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.