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Finding the Fourth Proportional to 223,437.80, 308,241.42 and 197,970.14

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Solution

The fourth proportional to 223,437.80, 308,241.42 and 197,970.14 is: 273,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,437.80 : 308,241.42 = 197,970.14 : x
  2. Step 2: Convert to fraction form
    223,437.80/308,241.42 = 197,970.14/x
  3. Step 3: Cross multiply
    223,437.80x = 308,241.42 × 197,970.14
  4. Step 4: Simplify right side
    223,437.80x = 61,022,597,071.20
  5. Step 5: Solve for x
    x = 61,022,597,071.20/223,437.80
  6. Step 6: Final answer
    x = 273,107.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.