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Finding the Fourth Proportional to 223,924.23, 308,992.59 and 137,869.56

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Solution

The fourth proportional to 223,924.23, 308,992.59 and 137,869.56 is: 190,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,924.23 : 308,992.59 = 137,869.56 : x
  2. Step 2: Convert to fraction form
    223,924.23/308,992.59 = 137,869.56/x
  3. Step 3: Cross multiply
    223,924.23x = 308,992.59 × 137,869.56
  4. Step 4: Simplify right side
    223,924.23x = 42,600,672,426.56
  5. Step 5: Solve for x
    x = 42,600,672,426.56/223,924.23
  6. Step 6: Final answer
    x = 190,245.93

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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.