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Finding the Fourth Proportional to 222,653.80, 333,980.70 and 146,546.20

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Solution

The fourth proportional to 222,653.80, 333,980.70 and 146,546.20 is: 219,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,653.80 : 333,980.70 = 146,546.20 : x
  2. Step 2: Convert to fraction form
    222,653.80/333,980.70 = 146,546.20/x
  3. Step 3: Cross multiply
    222,653.80x = 333,980.70 × 146,546.20
  4. Step 4: Simplify right side
    222,653.80x = 48,943,602,458.34
  5. Step 5: Solve for x
    x = 48,943,602,458.34/222,653.80
  6. Step 6: Final answer
    x = 219,819.30

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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.