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Finding the Fourth Proportional to 223,558.59, 308,299.97 and 146,942.31

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Solution

The fourth proportional to 223,558.59, 308,299.97 and 146,942.31 is: 202,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,558.59 : 308,299.97 = 146,942.31 : x
  2. Step 2: Convert to fraction form
    223,558.59/308,299.97 = 146,942.31/x
  3. Step 3: Cross multiply
    223,558.59x = 308,299.97 × 146,942.31
  4. Step 4: Simplify right side
    223,558.59x = 45,302,309,030.02
  5. Step 5: Solve for x
    x = 45,302,309,030.02/223,558.59
  6. Step 6: Final answer
    x = 202,641.77

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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.