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Finding the Fourth Proportional to 202,951.60, 304,427.40 and 146,964.40

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Solution

The fourth proportional to 202,951.60, 304,427.40 and 146,964.40 is: 220,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.60 : 304,427.40 = 146,964.40 : x
  2. Step 2: Convert to fraction form
    202,951.60/304,427.40 = 146,964.40/x
  3. Step 3: Cross multiply
    202,951.60x = 304,427.40 × 146,964.40
  4. Step 4: Simplify right side
    202,951.60x = 44,739,990,184.56
  5. Step 5: Solve for x
    x = 44,739,990,184.56/202,951.60
  6. Step 6: Final answer
    x = 220,446.60

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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.